geometry final exam review - mendham borough · pdf file · 2016-05-25based on the...
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Name: ________________________ Class: ___________________ Date: __________ ID: A
1
Geometry Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Based on the pattern, what is the next figure in the sequence?
a. b. c. d.
____ 2. Find a counterexample to show that the conjecture is false.
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
a. 3 and 5
b. 2 and 2
c. A counterexample exists, but it is not shown above.
d. There is no counterexample. The conjecture is true.
____ 3. Name the ray that is opposite BA→
.
a. BD→
b. BA→
c. CA→
d. DA→
____ 4. Find AC.
a. 14 b. 15 c. 12 d. 4
Name: ________________________ ID: A
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____ 5. In the figure shown, m∠AED = 120. Which of the following statements is false?
Not drawn to scale
a. m∠AEB = 60
b. ∠BEC and ∠CED are adjacent angles.
c. m∠BEC = 120
d. ∠AED and ∠BEC are adjacent angles.
____ 6. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
a. about 10 miles c. about 8 miles
b. about 50 miles d. about 40 miles
____ 7. Find the perimeter of the rectangle. The drawing is not to scale.
a. 151 feet b. 208 feet c. 161 feet d. 104 feet
Name: ________________________ ID: A
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____ 8. Find the perimeter of ∆ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
a. 12 units b. 7 units c. 32 units d. 14 units
____ 9. Find the area of a rectangle with base 2 yd and height 5 ft.
a. 10 yd2
b. 30 ft2
c. 10 ft2
d. 30 yd2
____ 10. Find the area of the circle in terms of π.
a. 30π in.2 b. 900π in.2 c. 60π in.2 d. 225π in.2
____ 11. If the perimeter of a square is 72 inches, what is its area?
a. 72 in.2
b. 324 in.2
c. 18 in.2
d. 5,184 in.2
Name: ________________________ ID: A
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____ 12. Jennifer has 78 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Jennifer
the garden with greatest area? The diagrams are not to scale.
a. c.
b. d.
____ 13. Write this statement as a conditional in if-then form:
All triangles have three sides.
a. If a triangle has three sides, then all triangles have three sides.
b. If a figure has three sides, then it is not a triangle.
c. If a figure is a triangle, then all triangles have three sides.
d. If a figure is a triangle, then it has three sides.
Name: ________________________ ID: A
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____ 14. Draw a Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.
a. c.
b. d.
____ 15. Which choice shows a true conditional with the hypothesis and conclusion identified correctly?
a. Yesterday was Monday if tomorrow is Thursday.
Hypothesis: Tomorrow is Thursday.
Conclusion: Yesterday was Monday.
b. If tomorrow is Thursday, then yesterday was Tuesday.
Hypothesis: Yesterday was Tuesday.
Conclusion: Tomorrow is not Thursday.
c. If tomorrow is Thursday, then yesterday was Tuesday.
Hypothesis: Yesterday was Tuesday.
Conclusion: Tomorrow is Thursday.
d. Yesterday was Tuesday if tomorrow is Thursday.
Hypothesis: Tomorrow is Thursday.
Conclusion: Yesterday was Tuesday.
____ 16. Which conditional has the same truth value as its converse?
a. If x = 7, then x| | = 7.
b. If a figure is a square, then it has four sides.
c. If x – 17 = 4, then x = 21.
d. If an angle has measure 80, then it is acute.
Name: ________________________ ID: A
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____ 17. Write the two conditional statements that make up the following biconditional.
I drink juice if and only if it is breakfast time.
a. I drink juice if and only if it is breakfast time.
It is breakfast time if and only if I drink juice.
b. If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
c. If I drink juice, then it is breakfast time.
I drink juice only if it is breakfast time.
d. I drink juice.
It is breakfast time.
____ 18. One way to show that a statement is NOT a good definition is to find a ____.
a. converse c. biconditional
b. conditional d. counterexample
____ 19. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
∠P and ∠Q are congruent.
a. m∠P + m∠Q = 90 c. ∠P is the complement of ∠Q.
b. m∠P = m∠Q d. m∠P ≠ m∠Q
____ 20. Find the values of x and y.
a. x = 15, y = 17 c. x = 68, y = 112
b. x = 112, y = 68 d. x = 17, y = 15
Name: ________________________ ID: A
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____ 21. Which statement is true?
a. ∠CBA and∠EBH are same-side angles.
b. ∠EBH and∠BED are same-side angles.
c. ∠CBA and ∠HBE are alternate interior angles.
d. ∠EBH and∠BED are alternate interior angles.
____ 22. Find the value of the variable if m Ä l, m∠1 = 2x + 44 and m∠5 = 5x + 38. The diagram is not to scale.
a. 1 b. 2 c. 3 d. –2
Name: ________________________ ID: A
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This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both
runways.
____ 23. How are ∠6 and ∠2 related?
a. corresponding angles c. same-side interior angles
b. alternate interior angles d. none of these
Name: ________________________ ID: A
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____ 24. Which is a correct two-column proof?
Given: ∠H and ∠C are supplementary.
Prove: j Ä l
a.
Statements Reasons
∠H and ∠C are supplementary. Given
∠H ≅ ∠E Vertical Angles
∠E and ∠C are supplementary. Substitution
j Ä l Same-Side Interior Angles Converse
b.
Statements Reasons
∠H and ∠C are supplementary. Given
∠H ≅ ∠E Alternate Exterior Angles
∠G and ∠A are supplementary. Substitution
j Ä l Same-Side Interior Angles Converse
c.
Statements Reasons
∠H and ∠C are supplementary. Given
∠H ≅ ∠E Vertical Angles
∠E and ∠C are supplementary. Same-Side Interior Angles
j Ä l Same-Side Interior Angles Converse
d. none of these
Name: ________________________ ID: A
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____ 25. Which lines, if any, can you conclude are parallel given that m∠1 + m∠2 = 180? Justify your conclusion
with a theorem or postulate.
a. j Ä k , by the Converse of the Same-Side Interior Angles Theorem
b. j Ä k , by the Converse of the Alternate Interior Angles Theorem
c. g Ä h , by the Converse of the Alternate Interior Angles Theorem
d. g Ä h , by the Converse of the Same-Side Interior Angles Theorem
____ 26. If c ⊥ b and a Ä c, what is m∠2?
a. 90 c. 74
b. 106 d. not enough information
____ 27. Classify the triangle by its sides. The diagram is not to scale.
a. straight b. scalene c. isosceles d. equilateral
____ 28. A triangular playground has angles with measures in the ratio 8 : 3 : 9. What is the measure of the smallest
angle?
a. 27 b. 3 c. 10 d. 30
Name: ________________________ ID: A
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____ 29. What is a correct name for the polygon?
a. EDCAB b. ABCDA c. CDEAB d. BAEAB
____ 30. Classify the polygon by its sides.
a. triangle b. hexagon c. pentagon d. octagon
____ 31. The chips used in the board game MathFuries have the shape of hexagons. How many sides does each
MathFuries chip have?
a. 5 b. 6 c. 8 d. 10
____ 32. Use less than, equal to, or greater than to complete the statement. The measure of each exterior angle of a
regular 7-gon is ____ the measure of each exterior angle of a regular 5-gon.
a. cannot tell b. equal to c. less than d. greater than
____ 33. Complete this statement. A polygon with all sides the same length is said to be ____.
a. regular b. equilateral c. equiangular d. convex
Name: ________________________ ID: A
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____ 34. Graph y = −3
4x – 1.
a. c.
b. d.
____ 35. Write an equation in point-slope form of the line through points (4, –4) and (1, 2). Use (4, –4) as the point
(x1, y1).
a. (y – 4) = –2(x + 4) c. (y + 4) = 2(x – 4)
b. (y – 4) = 2(x + 4) d. (y + 4) = –2(x – 4)
____ 36. At the curb a ramp is 11 inches off the ground. The other end of the ramp rests on the street 55 inches straight
out from the curb. Write a linear equation in slope-intercept form that relates the height y of the ramp to the
distance x from the curb.
a. y = 5x + 11 c. y = −1
5x + 55
b. y = −1
5x + 11 d. y =
1
5x + 55
Name: ________________________ ID: A
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____ 37. Is the line through points P(0, 5) and Q(–1, 8) parallel to the line through points R(3, 3) and S(5, –1)?
Explain.
a. No, the lines have unequal slopes.
b. Yes; the lines are both vertical.
c. Yes; the lines have equal slopes.
d. No, one line has zero slope, the other has no slope.
____ 38. Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R(–6, 0) and S(–9, 8)?
Explain.
a. Yes; their slopes have product –1.
b. No, their slopes are not opposite reciprocals.
c. No; their slopes are not equal.
d. Yes; their slopes are equal.
____ 39. Write an equation for the line perpendicular to y = 2x – 5 that contains (–9, 6).
a. y – 6 = 2(x + 9) c. y – 9 = −1
2(x + 6)
b. x – 6 = 2(y + 9) d. y – 6 = −1
2(x + 9)
____ 40. Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 3x – 3. A
perpendicular brace passes through the point (–7, 9). Write an equation of the line that contains the brace.
a. y – 7 = 1
3(x + 9) c. x – 9 = 3(y + 7)
b. y – 9 = 3(x + 7) d. y – 9 = −1
3(x + 7)
____ 41. What must be true about the slopes of two perpendicular lines, neither of which is vertical?
a. The slopes are equal.
b. The slopes have product 1.
c. The slopes have product –1.
d. One of the slopes must be 0.
____ 42. Give the slope-intercept form of the equation of the line that is perpendicular to
7x + 3y = 18 and contains P(6, 8).
a. y – 6 = 3
7(x – 8) c. y =
3
7x +
38
7
b. y = 3
7x +
18
7d. y – 8 =
3
7(x – 6)
Name: ________________________ ID: A
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____ 43. Construct the line perpendicular to KL at point M .
a. c.
b. d.
Name: ________________________ ID: A
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____ 44. Construct the line that is perpendicular to the given line through the given point.
a. c.
b. d.
____ 45. Given ∆ABC ≅ ∆PQR, m∠B = 3v + 4, and m∠Q = 8v − 6, find m∠B and m∠Q.
a. 22 b. 11 c. 10 d. 25
____ 46. Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?
a. either ASA or AAS c. AAS only
b. ASA only d. neither
Name: ________________________ ID: A
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____ 47. Based on the given information, what can you conclude, and why?
Given: ∠H ≅ ∠L, HJ ≅ JL
a. ∆HIJ ≅ ∆LKJ by ASA c. ∆HIJ ≅ ∆JLK by ASA
b. ∆HIJ ≅ ∆JLK by SAS d. ∆HIJ ≅ ∆LKJ by SAS
____ 48. R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m∠R = 60,
m∠S = 80, m∠F = 60, m∠D = 40, RS = 4, and EF = 4. Are the two triangles congruent? If yes, explain and
tell which segment is congruent to RT .
a. yes, by ASA; FD
b. yes, by AAS; ED
c. yes, by SAS; ED
d. No, the two triangles are not congruent.
____ 49. For which situation could you prove ∆1 ≅ ∆2 using the HL Theorem?
a. I only b. II only c. III only d. II and III
____ 50. BE→
is the bisector of ∠ABC and CD→
is the bisector of ∠ACB. Also, ∠XBA ≅ ∠YCA. Which of AAS, SSS,
SAS, or ASA would you use to help you prove BL ≅ CM ?
a. AAS b. SSS c. SAS d. ASA
Name: ________________________ ID: A
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____ 51. The legs of an isosceles triangle have lengths 2x + 4, x + 8. The base has length 5x − 2. What is the length of
the base?
a. 18 c. 12
b. 4 d. cannot be determined
____ 52. Find the value of x. The diagram is not to scale.
a. 32 b. 50 c. 64 d. 80
____ 53. Points B, D, and F are midpoints of the sides of ∆ACE. EC = 30 and DF = 23. Find AC. The diagram is not to
scale.
a. 30 b. 11.5 c. 60 d. 46
____ 54. The length of DE is shown. What other length can you determine for this diagram?
a. EF = 12 c. DF = 24
b. DG = 12 d. No other length can be determined.
Name: ________________________ ID: A
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____ 55. Q is equidistant from the sides of ∠TSR. Find the value of x. The diagram is not to scale.
a. 27 b. 3 c. 15 d. 30
____ 56. Find the center of the circle that you can circumscribe about the triangle.
a. (1
2, −1) b. (−1,
1
2) c. (–3,
1
2) d. (−1, –2)
____ 57. Where can the bisectors of the angles of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only b. III only c. I or III only d. I, II, or II
Name: ________________________ ID: A
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____ 58. Find the length of AB, given that DB is a median of the triangle and AC = 26.
a. 13 c. 52
b. 26 d. not enough information
____ 59. For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes.
a. incenter
circumcenter
centroid
orthocenter
b. circumcenter
incenter
centroid
orthocenter
c. circumcenter
incenter
orthocenter
centroid
d. incenter
circumcenter
orthocenter
centroid
____ 60. What is the inverse of this statement?
If he speaks Arabic, he can act as the interpreter.
a. If he does not speak Arabic, he can act as the interpreter.
b. If he speaks Arabic, he can’t act as the interpreter.
c. If he can act as the interpreter, then he does not speak Arabic.
d. If he does not speak Arabic, he can’t act as the interpreter.
____ 61. Name the smallest angle of ∆ABC. The diagram is not to scale.
a. ∠A
b. ∠C
c. Two angles are the same size and smaller than the third.
d. ∠B
Name: ________________________ ID: A
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____ 62. List the sides in order from shortest to longest. The diagram is not to scale.
a. LK , LJ , JK b. LJ , LK , JK c. LJ , JK , LK d. LK , JK , LJ
____ 63. Which three lengths can NOT be the lengths of the sides of a triangle?
a. 23 m, 17 m, 14 m c. 5 m, 7 m, 8 m
b. 11 m, 11 m, 12 m d. 21 m, 6 m, 10 m
____ 64. Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?
a. at least 11 and less than 23 c. greater than 11 and at most 23
b. at least 11 and at most 23 d. greater than 11 and less than 23
____ 65. Which statement is true?
a. All quadrilaterals are rectangles.
b. All quadrilaterals are squares.
c. All rectangles are quadrilaterals.
d. All quadrilaterals are parallelograms.
____ 66. WXYZ is a parallelogram. Name an angle congruent to ∠WZY.
a. ∠ZXY b. ∠XWZ c. ∠ZXW d. ∠WXY
Name: ________________________ ID: A
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____ 67. In the rhombus, m∠1 = 6x, m∠2 = x + y, and m∠3 = 18z. Find the value of each variable. The diagram is
not to scale.
a. x = 15, y = 165, z = 10 c. x = 15, y = 75, z = 5
b. x = 30, y = 75, z = 10 d. x = 30, y = 165, z = 5
____ 68. Lucinda wants to build a square sandbox, but has no way of measuring angles. Explain how she can make
sure that the sandbox is square by only measuring length.
a. Arrange four equal-length sides so the diagonals bisect each other.
b. Arrange four equal-length sides so the diagonals are equal lengths also.
c. Make each diagonal the same length as four equal-length sides.
d. Not possible; Lucinda has to be able to measure a right angle.
____ 69. Find m∠1 andm∠3 in the kite. The diagram is not to scale.
a. 51, 51 b. 39, 39 c. 39, 51 d. 51, 39
____ 70. m∠R = 130 and m∠S = 80. Find m∠T. The diagram is not to scale.
a. 65 b. 70 c. 35 d. 80
Name: ________________________ ID: A
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____ 71. Which diagram shows the most useful positioning and accurate labeling of a kite in the coordinate plane?
a. c.
b. d.
____ 72. The length of a rectangle is 61
2 inches and the width is 3
3
4 inches. What is the ratio, using whole numbers, of
the length to the width?
a. 26 : 15 b. 26 : 30 c. 15 : 26 d. 13 : 15
____ 73. If a
b=5
3, then 3a = ____.
a. 3b b. 10b c. 5b d. 6b
____ 74. If g
h=6
5, which equation must be true?
a. 5h = 6g b.h
g=5
6c.
h
6=g
5d. gh = 6 × 5
Solve the proportion.
____ 75. n − 6
3n=n − 5
3n + 1
a. –3 b.2
5c.
9
17d. 3
Name: ________________________ ID: A
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____ 76. Figure TQRS ∼ BCDE . Name a pair of corresponding sides?
a. TQ and BE b. TS and CD c. RS and BC d. QR and CD
____ 77. The two rectangles are similar. Which is a correct proportion for corresponding sides?
a.12
8=x
4b.
12
4=x
8c.
12
4=x
20d.
4
12=x
8
Are the polygons similar? If they are, write a similarity statement and give the similarity ratio.
____ 78. In ∆RST, RS = 10, RT = 15, and m∠R = 32. In ∆UVW, UV = 12, UW = 18, and m∠U = 32.
a. ∆RST ∼ ∆WUV ; 5
6c. ∆RST ∼ ∆VWU ;
6
5
b. ∆RST ∼ ∆UVW ; 5
6 d. The triangles are not similar.
The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.
____ 79. The pentagons are similar. Find the value of the variables.
a. x = 13, y = 4 c. x = 5.5, y = 10
b. x = 7, y = 2 d. x = 13, y = 6
____ 80. If one measurement of a golden rectangle is 8.8 inches, which could be the other measurement?
a. 14.238 in. b. 10.418 in. c. 7.182 in. d. 1.618 in.
Name: ________________________ ID: A
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____ 81. Are the triangles similar? If so, explain why.
a. yes, by SAS∼ b. yes, by SSS∼ c. yes, by AA∼ d. no
____ 82. Which group contains triangles that are all similar?
a.
b.
c.
d.
Name: ________________________ ID: A
25
Solve for a and b.
____ 83.
a. a =400
21, b =
580
21c. a =
580
21, b =
29
21
b. a =400
21, b =
20
21d. a =
20
21, b =
580
21
____ 84. Given: PQ Ä BC . Find the length of AQ. The diagram is not drawn to scale.
a. 11 b. 12 c. 18 d. 9
____ 85. Given AE Ä BD , solve for x.The diagram is not drawn to scale.
a. 76
7b. 3
2
11c. 15
2
5d. 26
2
5
Name: ________________________ ID: A
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Solve for x.
____ 86.
a. 5 b. 2.5 c. 7.5 d. 10
____ 87. Find x to the nearest tenth.
a. 4.8 b. 14.4 c. 9.4 d. 1.7
____ 88. Four explorers are trying to find the distance across an oddly shaped lake. They position themselves as shown
in the diagram. Alhombra uses her compass to instruct Chou and Duong to move along the line they form
with Bizet until she sees that from her perspective the angle between Bizet and Chou is equal to the angle
formed between Chou and Duong. They measure the distance between Bizet and Chou to be 35 m, between
Chou and Duong to be 46 m, and between Alhombra and Duong to be 100 m. How long is the lake from east
to west? Round your answer to the nearest tenth of a meter.
a. 76.1 m b. 77.4 m c. 131.4 m d. 132.4 m
____ 89. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A
second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of
the triangle. Round answers to the nearest tenth of a centimeter.
a. 41.4 cm, 8.3 cm c. 41.4 cm, 4.3 cm
b. 30 cm, 5.8 cm d. 8.3 cm, 5.8 cm
Name: ________________________ ID: A
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____ 90. Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to
the nearest tenth.
a. x = 7, y = 9.9 b. x = 9.9, y = 7 c. x = 4.9, y = 6.1 d. x = 6.1, y = 4.9
Find the value of x. Round your answer to the nearest tenth.
____ 91.
a. 6.2 cm b. 12.7 cm c. 15.5 cm d. 10.9 cm
Find the value of x. Round to the nearest tenth.
____ 92.
a. 10.3 b. 31.4 c. 10.7 d. 31.8
Name: ________________________ ID: A
28
____ 93. A slide 4.1 meters long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above
the ground is the top of the slide?
a. 7.1 m b. 3.4 m c. 5.0 m d. 2.4 m
Use compass directions to describe the direction of the vector.
(Not drawn to scale)
____ 94.
a. 43° east of north c. 43° west of south
b. 43° east of south d. 43° west of north
Name: ________________________ ID: A
29
____ 95.
a. 84° north of west c. 84° south of east
b. 84° south of west d. 84° north of east
____ 96. A glider lands 17 miles west and 9 miles south from where it took off. The result of the trip can be described
by the vector −17⟨ , −9⟩. Use distance (for magnitude) and direction to describe this vector a second way.
a. about 19 miles at 28° south of west c. about 19 miles at 28° north of west
b. about 28 miles at 19° north of west d. about 28 miles at 19° south of west
Write the sum of the two vectors as an ordered pair.
____ 97. 5⟨ , −2⟩ and 0⟨ , 0⟩
a. 0⟨ , 0⟩ b. −5⟨ , 2⟩ c. 10⟨ , −4⟩ d. 5⟨ , −2⟩
____ 98. −6⟨ , 5⟩ and 6⟨ , −5⟩
a. 0⟨ , 0⟩ b. −12⟨ , −10⟩ c. 12⟨ , 10⟩ d. 1⟨ , 1⟩
Name: ________________________ ID: A
30
____ 99. Which of these transformations are isometries?
(I) parallelogram EFGH → parallelogram XWVU
(II) hexagon CDEFGH → hexagon YXWVUT
(III) triangle EFG → triangle VWU
a. I only b. II and III only c. I and III only d. I, II, and III
Name: ________________________ ID: A
31
____ 100. Which graph shows a triangle and its reflection image in the x-axis?
a. c.
b. d.
____ 101. Write a rule to describe the transformation that is a reflection in the x-axis.
a. (x, y) → (y, x) c. (x, y) → (–x, –y)
b. (x, y) → (–x, y) d. (x, y) → (x, –y)
Name: ________________________ ID: A
32
The hexagon GIKMPR and ∆FJN are regular. The dashed line segments form 30° angles.
____ 102. Find the image of point P after a rotation of 240° about point M .
a. G b. O c. R d. K
____ 103. Find the glide reflection image of the upper right triangle for the glide of −8, − 7 and reflection line x = −3.
a. c.
b. d.
Name: ________________________ ID: A
33
____ 104. The right figure is an isometry of the left figure. Tell whether their orientations are the same or opposite.
Then classify the isometry.
a. opposite orientation; reflection
b. opposite orientation; translation
c. same orientation; rotation
d. same orientation; glide reflection
____ 105. Tell whether the three-dimensional object has rotational symmetry about a line and/or reflectional symmetry
in a plane.
a. reflectional symmetry
b. reflectional symmetry and rotational symmetry
c. rotational symmetry
d. no symmetry
____ 106. Which regular polygon can be used to form a tessellation? The sum of the measures of the angles of each
polygon is given.
a. octagon; 1080° b. nonagon; 1260° c. triangle; 180° d. decagon; 1440°
____ 107. Which figure can be used to make a pure tessellation?
a. b. c. d.
Name: ________________________ ID: A
34
____ 108. Which tessellation has rotational symmetry and translational symmetry, but no other types of symmetry?
a. c.
b. d.
____ 109. The dashed triangle is a dilation image of the solid triangle. What is the scale factor?
a.1
4b.
1
2c.
2
3d. 2
Name: ________________________ ID: A
35
Find the area. The figure is not drawn to scale.
____ 110.
a. 10.8 cm2 b. 5.4 cm2 c. 21.6 cm2 d. 7.4 cm2
____ 111.
a. 30 yd2 b. 6.5 yd2 c. 13 yd2 d. 15 yd2
____ 112.
a. 188 in.2 b. 278 in.2 c. 322 in.2 d. none of these
____ 113. The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base.
a. 385 cm b. 455 cm c. 14,700 cm2 d. 12 cm
____ 114. Find the area of a polygon with the vertices of (–2, 3), (1, 3), (5, –3), and (–2, –3).
a. 120 units2 b. 7 units2 c. 30 units2 d. 60 units2
Name: ________________________ ID: A
36
Find the area of the trapezoid. Leave your answer in simplest radical form.
____ 115.
a. 98 cm2 b. 91 cm2 c. 38.5 cm2 d. 11 cm2
____ 116. Find the area of an equilateral triangle with radius 8 3 m. Leave your answer in simplest radical form.
a. 96 3 m2 b. 144 3 m2 c. 18 3 m2 d. 12 3 m2
____ 117. The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters? Of the areas?
a. 8 : 7 and 64 : 49 c. 9 : 8 and 81 : 64
b. 9 : 8 and 64 : 49 d. 8 : 7 and 81 : 64
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest
whole number.
____ 118. Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in.2 and 50 in.
2.
a. 3 : 5; 3: 5 b. 9 : 25; 3 : 5 c. 3 : 5; 9 : 25 d. 9 : 25; 9 : 25
Find the area of the regular polygon. Give the answer to the nearest tenth.
____ 119. pentagon with radius 8 m
a. 304.3 m2
b. 152.2 m2
c. 30.4 m2
d. 154.2 m2
____ 120. A gardener needs to cultivate a triangular plot of land. One angle of the garden is 47 °, and two sides adjacent
to the angle are 77 feet and 76 feet. To the nearest tenth, what is the area of the plot of land?
a. 2163.5 ft2
b. 2139.9 ft2
c. 4279.9 ft2
d. 1995.5 ft2
____ 121. A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The
angle between the sides is 58°. To the nearest unit, find the area of the park in square yards.
a. 32,557 yd2
b. 14,470 yd2
c. 28,940 yd2
d. 43,410 yd2
Name: ________________________ ID: A
37
____ 122. Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle.
Leave your answer in terms of π .
a. (4 − π ) in.2 b. 4 −1
2π
Ê
Ë
ÁÁÁÁÁÁÁ
ˆ
¯
˜̃˜̃˜̃̃ in.2 c. 4 −
π
4
Ê
Ë
ÁÁÁÁÁÁÁ
ˆ
¯
˜̃˜̃˜̃̃ in.2 d. π in.2
Find the area of the circle. Leave your answer in terms of π .
____ 123. The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round
to the nearest tenth.
a. 75.4 m2 b. 52.5 m2 c. 278.7 m2 d. 22.9 m2
Name: ________________________ ID: A
38
____ 124. What is the probability that a point chosen at random on the grid will lie in the unshaded region?
a.5
8b.
2
5c.
3
8d.
3
5
____ 125. Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show
the inside of his model, so he sliced the figure as shown. Describe the cross section he created.
a. hexagon b. pentagon c. pyramid d. rectangle
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the
nearest whole number.
____ 126.
a. 1045 m2; 1081 m
2c. 1045 m
2; 1117 m
2
b. 1009 m2; 1117 m
2d. 1009 m
2; 1189 m
2
Name: ________________________ ID: A
39
Find the surface area of the pyramid shown to the nearest whole number.
____ 127.
a. 85 ft2
b. 145 ft2
c. 60 ft2
d. 25 ft2
____ 128. Find the slant height x of the pyramid shown to the nearest tenth.
a. 2.4 mm b. 5 mm c. 2.6 mm d. 4.3 mm
____ 129. Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of
6 in.
a. 210 in.2
b. 240 in.2
c. 42 in.2
d. 420 in.2
Name: ________________________ ID: A
40
____ 130. Find the slant height of the cone to the nearest whole number.
a. 21 m b. 19 m c. 22 m d. 24 m
____ 131. Find the lateral area of the cone to the nearest whole number.
Not drawn to scale
a. 7540 m2
b. 3770 m2
c. 4712 m2
d. 9425 m2
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 132.
a. 2143.4 yd3
b. 1750.1 yd3
c. 4286.8 yd3
d. 2475.0 yd3
Name: ________________________ ID: A
41
Find the volume of the cylinder in terms of π .
____ 133.
a. 140π in.3 b. 490π in.3 c. 70π in.3 d. 245π in.3
____ 134.
h = 6 and r = 3
a. 27π in.3 b. 108π in.3 c. 54π in.3 d. 324π in.3
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 135.
a. 207.3 in.3
b. 1866.1 in.3
c. 5598.3 in.3
d. 2799.2 in.3
Name: ________________________ ID: A
42
____ 136.
a. 552.9 m3
b. 829.4 m3
c. 1,244.1 m3
d. 3,317.5 m3
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
____ 137.
a. yes; 1 : 3 b. yes; 1 : 2 c. yes; 1 : 5 d. no
In the figure, PA→
and PB→
are tangent to circle O and PD→
bisects ∠BPA. The figure is not drawn to
scale.
____ 138. For m∠AOC = 46, find m∠POB.
a. 23 b. 90 c. 46 d. 68
Name: ________________________ ID: A
43
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
____ 139. FG ⊥ OP, RS ⊥ OQ , FG = 40, RS = 37, OP = 19
a. 27.2 b. 18.5 c. 19 d. 20.5
____ 140.
a. 19.34 b. 10.49 c. 110 d. 9.22
Name: ________________________ ID: A
44
____ 141. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is
not drawn to scale.)
a. 12.4 b. 3.8 c. 24.9 d. 44.4
____ 142. m∠R = 22. Find m∠O. (The figure is not drawn to scale.)
a. 68 b. 22 c. 158 d. 44
Name: ________________________ ID: A
45
____ 143. Given that ∠DAB and ∠DCB are right angles and m∠BDC = 41, what is the measure of arc CAD? (The
figure is not drawn to scale.)
a. 164 b. 303 c. 246 d. 262
____ 144. Find the measures of the indicated angles. Which statement is NOT true? (The figure is not drawn to scale.)
a. a = 53° b. b = 106° c. c = 73° d. d = 37°
____ 145. Find x. (The figure is not drawn to scale.)
a. 92 b. 44 c. 23 d. 46
Name: ________________________ ID: A
46
____ 146. Find the value of x for m(arc AB) = 46 and m(arc CD) = 25. (The figure is not drawn to scale.)
a. 35.5° b. 58.5° c. 71° d. 21°
____ 147. m∠S = 36, m(arc RS) = 118, and RU is tangent to the circle at R. Find m∠U.
(The figure is not drawn to scale.)
a. 23 b. 82 c. 46 d. 41
____ 148. Find the diameter of the circle for BC = 16 and DC = 28. Round to the nearest tenth.
(The diagram is not drawn to scale.)
a. 33 b. 49 c. 14.3 d. 65
Name: ________________________ ID: A
47
____ 149. Write the standard equation of the circle in the graph.
a. (x + 3)2 + (y – 2)
2 = 9 c. (x – 3)
2 + (y + 2)
2 = 18
b. (x – 3)2 + (y + 2)
2 = 9 d. (x + 3)
2 + (y – 2)
2 = 18
Describe the locus in space.
____ 150. points 3 in. from plane K
a. a circle of radius 3 cm, centered at K
b. two planes parallel to plane K, each 3 in. from K
c. two lines parallel to plane K, each 3 in. from K
d. a sphere of radius 3 cm, centered at K
ID: A
1
Geometry Final Exam Review
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1 DIF: L2
REF: 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning
NAT: NAEP 2005 G5a STA: NJ 4.3.12 A.1 | NJ 4.3.12 A.3
TOP: 1-1 Example 1 KEY: pattern | inductive reasoning
2. ANS: B PTS: 1 DIF: L3
REF: 1-1 Patterns and Inductive Reasoning OBJ: 1-1.1 Using Inductive Reasoning
NAT: NAEP 2005 G5a STA: NJ 4.3.12 A.1 | NJ 4.3.12 A.3
TOP: 1-1 Example 3 KEY: counterexample | conjecture
3. ANS: A PTS: 1 DIF: L2
REF: 1-4 Segments, Rays, Parallel Lines and Planes
OBJ: 1-4.1 Identifying Segments and Rays NAT: NAEP 2005 G3g
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3a TOP: 1-4 Example 1
KEY: ray | opposite rays
4. ANS: C PTS: 1 DIF: L2 REF: 1-5 Measuring Segments
OBJ: 1-5.1 Finding Segment Lengths NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP I.2.1
STA: NJ 4.1.12 B.1 TOP: 1-5 Example 1
KEY: segment | segment length
5. ANS: D PTS: 1 DIF: L2 REF: 1-6 Measuring Angles
OBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3g
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 TOP: 1-6 Example 5
KEY: adjacent angles | supplementary angles | vertical angles
6. ANS: D PTS: 1 DIF: L3 REF: 1-8 The Coordinate Plane
OBJ: 1-8.1 Finding Distance on the Coordinate Plane
NAT: NAEP 2005 M1e | ADP J.1.6 | ADP K.10.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
KEY: coordinate plane | Distance Formula | word problem | problem solving
7. ANS: B PTS: 1 DIF: L2
REF: 1-9 Perimeter, Circumference, and Area
OBJ: 1-9.1 Finding Perimeter and Circumference
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
TOP: 1-9 Example 1 KEY: perimeter | rectangle
8. ANS: A PTS: 1 DIF: L2
REF: 1-9 Perimeter, Circumference, and Area
OBJ: 1-9.1 Finding Perimeter and Circumference
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
TOP: 1-9 Example 3 KEY: perimeter | triangle | coordinate plane | Distance Formula
ID: A
2
9. ANS: B PTS: 1 DIF: L3
REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
TOP: 1-9 Example 4 KEY: area | rectangle
10. ANS: D PTS: 1 DIF: L2
REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
TOP: 1-9 Example 5 KEY: area | circle
11. ANS: B PTS: 1 DIF: L3
REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
KEY: area | square
12. ANS: A PTS: 1 DIF: L3
REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding Area
NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b
KEY: rectangle | area | word problem | problem solving
13. ANS: D PTS: 1 DIF: L2 REF: 2-1 Conditional Statements
OBJ: 2-1.1 Conditional Statements NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c TOP: 2-1 Example 2
KEY: hypothesis | conclusion | conditional statement
14. ANS: A PTS: 1 DIF: L2 REF: 2-1 Conditional Statements
OBJ: 2-1.1 Conditional Statements NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c TOP: 2-1 Example 4
KEY: conditional statement | Venn Diagram
15. ANS: D PTS: 1 DIF: L3 REF: 2-1 Conditional Statements
OBJ: 2-1.1 Conditional Statements NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c
KEY: conditional statement | truth value | hypothesis | conclusion
16. ANS: C PTS: 1 DIF: L2 REF: 2-1 Conditional Statements
OBJ: 2-1.2 Converses NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c TOP: 2-1 Example 6
KEY: conditional statement | coverse of a conditional | truth value
17. ANS: B PTS: 1 DIF: L2 REF: 2-2 Biconditionals and Definitions
OBJ: 2-2.1 Writing Biconditionals NAT: NAEP 2005 G1c | NAEP 2005 G5a | ADP K.1.1
STA: NJ 4.2.12 A.4c TOP: 2-2 Example 2
KEY: biconditional statement | conditional statement
18. ANS: D PTS: 1 DIF: L2 REF: 2-2 Biconditionals and Definitions
OBJ: 2-2.2 Recognizing Good Definitions
NAT: NAEP 2005 G1c | NAEP 2005 G5a | ADP K.1.1 STA: NJ 4.2.12 A.4c
KEY: counterexample
19. ANS: B PTS: 1 DIF: L2 REF: 2-3 Deductive Reasoning
OBJ: 2-3.1 Using the Law of Detachment NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c TOP: 2-3 Example 2
KEY: deductive reasoning | Law of Detachment
ID: A
3
20. ANS: A PTS: 1 DIF: L2 REF: 2-5 Proving Angles Congruent
OBJ: 2-5.1 Theorems About Angles NAT: NAEP 2005 G3g | ADP K.1.1
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.4c TOP: 2-5 Example 1
KEY: Vertical Angles Theorem | vertical angles | supplementary angles | multi-part question
21. ANS: D PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.1 Identifying Angles NAT: NAEP 2005 M1f | ADP K.2.1
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a TOP: 3-1 Example 1
KEY: same-side interior angles | alternate interior angles
22. ANS: B PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines NAT: NAEP 2005 M1f | ADP K.2.1
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a TOP: 3-1 Example 5
KEY: corresponding angles | parallel lines |
23. ANS: A PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.1 Identifying Angles NAT: NAEP 2005 M1f | ADP K.2.1
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a TOP: 3-1 Example 2
KEY: parallel lines | transversal | angle
24. ANS: A PTS: 1 DIF: L3 REF: 3-2 Proving Lines Parallel
OBJ: 3-2.1 Using a Transversal NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a
TOP: 3-2 Example 1 KEY: parallel lines | reasoning | supplementary angles
25. ANS: A PTS: 1 DIF: L2 REF: 3-2 Proving Lines Parallel
OBJ: 3-2.1 Using a Transversal NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a
TOP: 3-2 Example 1 KEY: parallel lines | reasoning
26. ANS: A PTS: 1 DIF: L3
REF: 3-3 Parallel and Perpendicular Lines
OBJ: 3-3.1 Relating Parallel and Perpendicular Lines
NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.1
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4a TOP: 3-3 Example 2
KEY: parallel lines | perpendicular lines | transversal
27. ANS: D PTS: 1 DIF: L2
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
OBJ: 3-4.1 Finding Angle Measures in Triangles
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4b
TOP: 3-4 Example 2
KEY: acute triangle | triangle | classifying triangles | scalene | isosceles triangle | equilateral
28. ANS: A PTS: 1 DIF: L3
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
OBJ: 3-4.1 Finding Angle Measures in Triangles
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.4b
KEY: triangle | angle
29. ANS: C PTS: 1 DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.1 Classifying Polygons
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4b | NJ 4.3.12 A.3 | NJ 4.3.12 B.1 | NJ 4.3.12 C.1a | NJ
4.3.12 C.2 TOP: 3-5 Example 1 KEY: polygon
ID: A
4
30. ANS: B PTS: 1 DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.1 Classifying Polygons
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4b | NJ 4.3.12 A.3 | NJ 4.3.12 B.1 | NJ 4.3.12 C.1a | NJ
4.3.12 C.2 TOP: 3-5 Example 2 KEY: classifying polygons
31. ANS: B PTS: 1 DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.1 Classifying Polygons
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4b | NJ 4.3.12 A.3 | NJ 4.3.12 B.1 | NJ 4.3.12 C.1a | NJ
4.3.12 C.2 KEY: classifying polygons
32. ANS: C PTS: 1 DIF: L3
REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle Sums
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4b | NJ 4.3.12 A.3 | NJ 4.3.12 B.1 | NJ 4.3.12 C.1a | NJ
4.3.12 C.2 KEY: sum of angles of a polygon
33. ANS: B PTS: 1 DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle Sums
NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4b | NJ 4.3.12 A.3 | NJ 4.3.12 B.1 | NJ 4.3.12 C.1a | NJ
4.3.12 C.2 KEY: polygon | classifying polygons | equilateral
34. ANS: D PTS: 1 DIF: L2 REF: 3-6 Lines in the Coordinate Plane
OBJ: 3-6.1 Graphing Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.2.12 C.1b | NJ 4.3.12 B.1 | NJ 4.3.12 C.2 TOP: 3-6 Example 1
KEY: slope-intercept form | graphing
35. ANS: D PTS: 1 DIF: L2 REF: 3-6 Lines in the Coordinate Plane
OBJ: 3-6.2 Writing Equations of Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.2.12 C.1b | NJ 4.3.12 B.1 | NJ 4.3.12 C.2 TOP: 3-6 Example 5
KEY: point-slope form
36. ANS: B PTS: 1 DIF: L3 REF: 3-6 Lines in the Coordinate Plane
OBJ: 3-6.2 Writing Equations of Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.2.12 C.1b | NJ 4.3.12 B.1 | NJ 4.3.12 C.2
KEY: word problem | problem solving | slope-intercept form
37. ANS: A PTS: 1 DIF: L2
REF: 3-7 Slopes of Parallel and Perpendicular Lines OBJ: 3-7.1 Slope and Parallel Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2 TOP: 3-7 Example 1
KEY: slopes of parallel lines | graphing | parallel lines
38. ANS: B PTS: 1 DIF: L2
REF: 3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2 TOP: 3-7 Example 4
KEY: slopes of perpendicular lines | perpendicular lines
ID: A
5
39. ANS: D PTS: 1 DIF: L2
REF: 3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2 TOP: 3-7 Example 5
KEY: slopes of perpendicular lines | perpendicular lines
40. ANS: D PTS: 1 DIF: L2
REF: 3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2 TOP: 3-7 Example 6
KEY: word problem | problem solving | perpendicular lines | slopes of perpendicular lines
41. ANS: C PTS: 1 DIF: L2
REF: 3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2
KEY: slopes of perpendicular lines | perpendicular lines | reasoning
42. ANS: C PTS: 1 DIF: L3
REF: 3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
NAT: NAEP 2005 A1h | NAEP 2005 A2a | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.2.12 C.1e | NJ
4.3.12 C.1a | NJ 4.3.12 C.2 KEY: slopes of perpendicular lines | perpendicular lines
43. ANS: A PTS: 1 DIF: L2
REF: 3-8 Constructing Parallel and Perpendicular Lines
OBJ: 3-8.2 Constructing Perpendicular Lines
NAT: NAEP 2005 G3b | NAEP 2005 G3g | ADP K.2.1 | ADP K.2.2
STA: NJ 4.2.12 A.3a TOP: 3-8 Example 3
KEY: construction | perpendicular lines
44. ANS: D PTS: 1 DIF: L2
REF: 3-8 Constructing Parallel and Perpendicular Lines
OBJ: 3-8.2 Constructing Perpendicular Lines
NAT: NAEP 2005 G3b | NAEP 2005 G3g | ADP K.2.1 | ADP K.2.2
STA: NJ 4.2.12 A.3a TOP: 3-8 Example 3
KEY: construction | perpendicular lines
45. ANS: C PTS: 1 DIF: L3 REF: 4-1 Congruent Figures
OBJ: 4-1.1 Congruent Figures NAT: NAEP 2005 G2e | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b
KEY: congruent figures | corresponding parts
46. ANS: C PTS: 1 DIF: L3
REF: 4-3 Triangle Congruence by ASA and AAS
OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b TOP: 4-3 Example 3
KEY: ASA | AAS | reasoning
ID: A
6
47. ANS: A PTS: 1 DIF: L2
REF: 4-3 Triangle Congruence by ASA and AAS
OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b TOP: 4-3 Example 4
KEY: ASA | reasoning
48. ANS: A PTS: 1 DIF: L3
REF: 4-4 Using Congruent Triangles: CPCTC
OBJ: 4-4.1 Proving Parts of Triangles Congruent NAT: NAEP 2005 G2e | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b TOP: 4-4 Example 1
KEY: ASA | CPCTC | word problem
49. ANS: C PTS: 1 DIF: L3 REF: 4-6 Congruence in Right Triangles
OBJ: 4-6.1 The Hypotenuse-Leg Theorem NAT: NAEP 2005 G2e | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b TOP: 4-6 Example 1
KEY: HL Theorem | right triangle | reasoning
50. ANS: D PTS: 1 DIF: L4
REF: 4-7 Using Corresponding Parts of Congruent Triangles
OBJ: 4-7.1 Using Overlapping Triangles in Proofs NAT: NAEP 2005 G3f | ADP K.3
STA: NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b TOP: 4-7 Example 2
KEY: corresponding parts | congruent figures | ASA | SAS | AAS | SSS | reasoning
51. ANS: A PTS: 1 DIF: L4
REF: 4-5 Isosceles and Equilateral Triangles
OBJ: 4-5.1 The Isosceles Triangle Theorems
NAT: NAEP 2005 G3f | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.a | NJ 4.2.12 A.4b
KEY: isosceles triangle | Isosceles Triangle Theorem | word problem | problem solving
52. ANS: C PTS: 1 DIF: L2 REF: 5-1 Midsegments of Triangles
OBJ: 5-1.1 Using Properties of Midsegments NAT: NAEP 2005 G3f | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3b.b | NJ 4.2.12 A.4b | NJ 4.2.12 C.1a |
NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 5-1 Example 1
KEY: midsegment | Triangle Midsegment Theorem
53. ANS: D PTS: 1 DIF: L2 REF: 5-1 Midsegments of Triangles
OBJ: 5-1.1 Using Properties of Midsegments NAT: NAEP 2005 G3f | ADP K.1.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3b.b | NJ 4.2.12 A.4b | NJ 4.2.12 C.1a |
NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ 4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 5-1 Example 1
KEY: midpoint | midsegment | Triangle Midsegment Theorem
54. ANS: A PTS: 1 DIF: L2 REF: 5-2 Bisectors in Triangles
OBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors NAT: NAEP 2005 G3b | ADP K.2.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.4b TOP: 5-2 Example 1
KEY: perpendicular bisector | Perpendicular Bisector Theorem
55. ANS: B PTS: 1 DIF: L2 REF: 5-2 Bisectors in Triangles
OBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors NAT: NAEP 2005 G3b | ADP K.2.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.4b TOP: 5-2 Example 2
KEY: angle bisector | Converse of the Angle Bisector Theorem
56. ANS: B PTS: 1 DIF: L2
REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.1 Properties of Bisectors
NAT: NAEP 2005 G3b
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 C.1c
TOP: 5-3 Example 1 KEY: circumscribe | circumcenter of the triangle
ID: A
7
57. ANS: A PTS: 1 DIF: L3
REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.1 Properties of Bisectors
NAT: NAEP 2005 G3b
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 C.1c
KEY: incenter of the triangle | angle bisector | reasoning
58. ANS: A PTS: 1 DIF: L2
REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.2 Medians and Altitudes
NAT: NAEP 2005 G3b
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 C.1c
TOP: 5-3 Example 3 KEY: median of a triangle
59. ANS: B PTS: 1 DIF: L3
REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.2 Medians and Altitudes
NAT: NAEP 2005 G3b
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 C.1c
KEY: angle bisector | circumcenter of the triangle | centroid | orthocenter of the triangle | median | altitude |
perpendicular bisector
60. ANS: D PTS: 1 DIF: L2
REF: 5-4 Inverses, Contrapositives, and Indirect Reasoning
OBJ: 5-4.1 Writing the Negation, Inverse, and Contrapositive NAT: NAEP 2005 G5a
STA: NJ 4.2.12 A.4c TOP: 5-4 Example 2
KEY: contrapositive
61. ANS: D PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles
OBJ: 5-5.1 Inequalities Involving Angles of Triangles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 A.2 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.c | NJ 4.2.12 A.4c
TOP: 5-5 Example 2 KEY: Theorem 5-10
62. ANS: C PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles
OBJ: 5-5.2 Inequalities Involving Sides of Triangles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 A.2 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.c | NJ 4.2.12 A.4c
TOP: 5-5 Example 3 KEY: Theorem 5-11
63. ANS: D PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles
OBJ: 5-5.2 Inequalities Involving Sides of Triangles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 A.2 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.c | NJ 4.2.12 A.4c
TOP: 5-5 Example 4 KEY: Triangle Inequality Theorem
64. ANS: D PTS: 1 DIF: L2 REF: 5-5 Inequalities in Triangles
OBJ: 5-5.2 Inequalities Involving Sides of Triangles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 A.2 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3b.c | NJ 4.2.12 A.4c
TOP: 5-5 Example 5 KEY: Triangle Inequality Theorem
65. ANS: C PTS: 1 DIF: L2 REF: 6-1 Classifying Quadrilaterals
OBJ: 6-1.1 Classifying Special Quadrilaterals NAT: NAEP 2005 G3f
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3c | NJ 4.2.12 C.1a | NJ 4.2.12 C.1b | NJ
4.2.12 C.1d | NJ 4.2.12 C.1e
KEY: reasoning | kite | parallelogram | quadrilateral | rectangle | rhombus | special quadrilaterals
66. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of Parallelograms
OBJ: 6-2.1 Properties: Sides and Angles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a KEY: parallelogram | opposite angles
ID: A
8
67. ANS: C PTS: 1 DIF: L2 REF: 6-4 Special Parallelograms
OBJ: 6-4.1 Diagonals of Rhombuses and Rectangles NAT: NAEP 2005 G3f
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3c | NJ 4.2.12 A.4b
TOP: 6-4 Example 1 KEY: algebra | diagonal | rhombus | Theorem 6-13
68. ANS: B PTS: 1 DIF: L3 REF: 6-4 Special Parallelograms
OBJ: 6-4.2 Is the Parallelogram a Rhombus or a Rectangle? NAT: NAEP 2005 G3f
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3c | NJ 4.2.12 A.4b
TOP: 6-4 Example 3
KEY: square | reasoning | Theorem 6-10 | Theorem 6-11 | word problem | problem solving
69. ANS: C PTS: 1 DIF: L2 REF: 6-5 Trapezoids and Kites
OBJ: 6-5.1 Properties of Trapezoids and Kites NAT: NAEP 2005 G3f
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4b
TOP: 6-5 Example 3 KEY: kite | Theorem 6-17 | diagonal
70. ANS: B PTS: 1 DIF: L2 REF: 6-5 Trapezoids and Kites
OBJ: 6-5.1 Properties of Trapezoids and Kites NAT: NAEP 2005 G3f
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4b
KEY: kite | sum of interior angles
71. ANS: D PTS: 1 DIF: L3
REF: 6-6 Placing Figures in the Coordinate Plane OBJ: 6-6.1 Naming Coordinates
NAT: NAEP 2005 G4d
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3c | NJ 4.2.12 A.4b | NJ 4.2.12 C.1b | NJ 4.2.12 C.1d | NJ
4.3.12 D.3 KEY: algebra | coordinate plane | isosceles trapezoid | kite
72. ANS: A PTS: 1 DIF: L3 REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Using Ratios and Proportions
NAT: NAEP 2005 N4c | ADP I.1.2 | ADP J.5.1 | ADP K.7 STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1
TOP: 7-1 Example 1 KEY: ratio
73. ANS: C PTS: 1 DIF: L2 REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Using Ratios and Proportions
NAT: NAEP 2005 N4c | ADP I.1.2 | ADP J.5.1 | ADP K.7 STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1
TOP: 7-1 Example 2 KEY: proportion | Cross-Product Property
74. ANS: B PTS: 1 DIF: L2 REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Using Ratios and Proportions
NAT: NAEP 2005 N4c | ADP I.1.2 | ADP J.5.1 | ADP K.7 STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1
TOP: 7-1 Example 2 KEY: Cross-Product Property | proportion
75. ANS: A PTS: 1 DIF: L3 REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Using Ratios and Proportions
NAT: NAEP 2005 N4c | ADP I.1.2 | ADP J.5.1 | ADP K.7 STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1
TOP: 7-1 Example 3 KEY: proportion | Cross-Product Property
76. ANS: D PTS: 1 DIF: L2 REF: 7-2 Similar Polygons
OBJ: 7-2.1 Similar Polygons
NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1
TOP: 7-2 Example 1 KEY: similar polygons | corresponding sides
77. ANS: B PTS: 1 DIF: L2 REF: 7-2 Similar Polygons
OBJ: 7-2.1 Similar Polygons
NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1
TOP: 7-2 Example 1 KEY: similar polygons | corresponding sides
ID: A
9
78. ANS: B PTS: 1 DIF: L2 REF: 7-2 Similar Polygons
OBJ: 7-2.1 Similar Polygons
NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1
TOP: 7-2 Example 2
KEY: similar polygons | corresponding sides | corresponding angles
79. ANS: A PTS: 1 DIF: L3 REF: 7-2 Similar Polygons
OBJ: 7-2.1 Similar Polygons
NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1
TOP: 7-2 Example 3 KEY: corresponding sides | proportion
80. ANS: A PTS: 1 DIF: L2 REF: 7-2 Similar Polygons
OBJ: 7-2.2 Applying Similar Polygons
NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1
TOP: 7-2 Example 5 KEY: golden rectangle
81. ANS: C PTS: 1 DIF: L2 REF: 7-3 Proving Triangles Similar
OBJ: 7-3.1 The AA Postulate and the SAS and SSS Theorems
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-3 Example 2
KEY: Angle-Angle Similarity Postulate | Side-Side-Side Similarity Theorem | Side-Angle-Side Similarity
Theorem
82. ANS: A PTS: 1 DIF: L2 REF: 7-3 Proving Triangles Similar
OBJ: 7-3.1 The AA Postulate and the SAS and SSS Theorems
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-3 Example 2
KEY: Angle-Angle Similarity Postulate | Side-Angle-Side Similarity Theorem | Side-Side-Side Similarity
Theorem
83. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right Triangles
OBJ: 7-4.1 Using Similarity in Right Triangles
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP K.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3d | NJ 4.2.12 E.1a
TOP: 7-4 Example 2 KEY: corollaries of the geometric mean | proportion
84. ANS: D PTS: 1 DIF: L2 REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 Using the Side-Splitter Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 1 KEY: Side-Splitter Theorem
85. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 Using the Side-Splitter Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 1 KEY: Side-Splitter Theorem
ID: A
10
86. ANS: A PTS: 1 DIF: L3 REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 Using the Side-Splitter Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 1 KEY: Side-Splitter Theorem
87. ANS: B PTS: 1 DIF: L2 REF: 7-5 Proportions in Triangles
OBJ: 7-5.2 Using the Triangle-Angle-Bisector Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 3 KEY: Triangle-Angle-Bisector Theorem
88. ANS: A PTS: 1 DIF: L3 REF: 7-5 Proportions in Triangles
OBJ: 7-5.2 Using the Triangle-Angle-Bisector Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 3 KEY: Triangle-Angle-Bisector Theorem | word problem
89. ANS: D PTS: 1 DIF: L3 REF: 7-5 Proportions in Triangles
OBJ: 7-5.2 Using the Triangle-Angle-Bisector Theorem
NAT: NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3a | NJ 4.2.12 A.3d | NJ 4.2.12 D.1 | NJ 4.2.12 E.1a
TOP: 7-5 Example 3 KEY: Triangle-Angle-Bisector Theorem
90. ANS: B PTS: 1 DIF: L3 REF: 8-2 Special Right Triangles
OBJ: 8-2.1 45°-45°-90° Triangles NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.4a | NJ 4.2.12 D.1 | NJ 4.2.12 E.1b
TOP: 8-2 Example 2 KEY: special right triangles | hypotenuse | leg
91. ANS: A PTS: 1 DIF: L3 REF: 8-3 The Tangent Ratio
OBJ: 8-3.1 Using Tangents in Triangles
NAT: NAEP 2005 M1m | ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c
TOP: 8-3 Example 2 KEY: side length using tangent | tangent | tangent ratio
92. ANS: B PTS: 1 DIF: L2 REF: 8-4 Sine and Cosine Ratios
OBJ: 8-4.1 Using Sine and Cosine in Triangles
NAT: NAEP 2005 M1m | ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c
TOP: 8-4 Example 2 KEY: sine | side length using since and cosine | sine ratio
93. ANS: D PTS: 1 DIF: L2 REF: 8-4 Sine and Cosine Ratios
OBJ: 8-4.1 Using Sine and Cosine in Triangles
NAT: NAEP 2005 M1m | ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c
TOP: 8-4 Example 2
KEY: side length using since and cosine | word problem | problem solving | sine | sine ratio
94. ANS: D PTS: 1 DIF: L2 REF: 8-6 Vectors
OBJ: 8-6.1 Describing Vectors NAT: NAEP 2005 G4e | ADP I.4.1
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.2 | NJ 4.2.12 C.2 | NJ
4.2.12 D.1 | NJ 4.2.12 E.1b | NJ 4.2.12 E.1c | NJ 4.3.12 D.3 TOP: 8-6 Example 2
KEY: initial point of a vector | terminal point of a vector | vector
ID: A
11
95. ANS: C PTS: 1 DIF: L2 REF: 8-6 Vectors
OBJ: 8-6.1 Describing Vectors NAT: NAEP 2005 G4e | ADP I.4.1
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.2 | NJ 4.2.12 C.2 | NJ
4.2.12 D.1 | NJ 4.2.12 E.1b | NJ 4.2.12 E.1c | NJ 4.3.12 D.3 TOP: 8-6 Example 2
KEY: initial point of a vector | terminal point of a vector | vector
96. ANS: A PTS: 1 DIF: L2 REF: 8-6 Vectors
OBJ: 8-6.1 Describing Vectors NAT: NAEP 2005 G4e | ADP I.4.1
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.2 | NJ 4.2.12 C.2 | NJ
4.2.12 D.1 | NJ 4.2.12 E.1b | NJ 4.2.12 E.1c | NJ 4.3.12 D.3 TOP: 8-6 Example 3
KEY: magnitude of a vector | word problem | vector coordinates | initial point of a vector | terminal point of a
vector | vector | problem solving
97. ANS: D PTS: 1 DIF: L2 REF: 8-6 Vectors
OBJ: 8-6.2 Adding Vectors NAT: NAEP 2005 G4e | ADP I.4.1
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.2 | NJ 4.2.12 C.2 | NJ
4.2.12 D.1 | NJ 4.2.12 E.1b | NJ 4.2.12 E.1c | NJ 4.3.12 D.3 TOP: 8-6 Example 4
KEY: adding vectors | vector coordinates | vector
98. ANS: A PTS: 1 DIF: L2 REF: 8-6 Vectors
OBJ: 8-6.2 Adding Vectors NAT: NAEP 2005 G4e | ADP I.4.1
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.2.12 C.2 | NJ 4.2.12 C.2 | NJ
4.2.12 D.1 | NJ 4.2.12 E.1b | NJ 4.2.12 E.1c | NJ 4.3.12 D.3 TOP: 8-6 Example 4
KEY: adding vectors | vector coordinates | vector
99. ANS: D PTS: 1 DIF: L3 REF: 9-1 Translations
OBJ: 9-1.1 Identifying isometries
NAT: NAEP 2005 G2a | NAEP 2005 G2b | NAEP 2005 G2c | ADP K.6
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.3.12 D.3
TOP: 9-1 Example 1 KEY: transformation | isometry
100. ANS: D PTS: 1 DIF: L3 REF: 9-2 Reflections
OBJ: 9-2.1 Finding reflection images
NAT: NAEP 2005 G2a | NAEP 2005 G2b | NAEP 2005 G2c | ADP K.6
STA: NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.3.12 D.3 TOP: 9-2 Example 2
KEY: coordinate plane | reflection
101. ANS: D PTS: 1 DIF: L2 REF: 9-2 Reflections
OBJ: 9-2.1 Finding reflection images
NAT: NAEP 2005 G2a | NAEP 2005 G2b | NAEP 2005 G2c | ADP K.6
STA: NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.3.12 D.3 TOP: 9-2 Example 1
KEY: translation | transformation | coordinate plane | translation rule
102. ANS: D PTS: 1 DIF: L2 REF: 9-3 Rotations
OBJ: 9-3.1 Drawing and identifying rotation images
NAT: NAEP 2005 G2a | NAEP 2005 G2c | ADP K.6
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 TOP: 9-3 Example 2
KEY: rotation | degree of rotation | image
103. ANS: D PTS: 1 DIF: L2 REF: 9-6 Compositions of Reflections
OBJ: 9-6.2 Glide reflections NAT: NAEP 2005 G2d | ADP K.6
STA: NJ 4.2.12 B.1 | NJ 4.3.12 D.3 TOP: 9-6 Example 4
KEY: translation | composition of transformations | reflection | glide reflection | image | coordinate plane
ID: A
12
104. ANS: A PTS: 1 DIF: L2 REF: 9-6 Compositions of Reflections
OBJ: 9-6.2 Glide reflections NAT: NAEP 2005 G2d | ADP K.6
STA: NJ 4.2.12 B.1 | NJ 4.3.12 D.3 TOP: 9-6 Example 5
KEY: reflection | orientation | isometry
105. ANS: A PTS: 1 DIF: L2 REF: 9-4 Symmetry
OBJ: 9-4.1 Identifying types of symmetry in figures NAT: NAEP 2005 G2a | ADP K.6
STA: NJ 4.2.12 A.1 TOP: 9-4 Example 3
KEY: symmetry | rotational symmetry | reflectional symmetry
106. ANS: C PTS: 1 DIF: L2 REF: 9-7 Tessellations
OBJ: 9-7.1 Identifying transformations in tessellations NAT: NAEP 2005 G2a | ADP K.6
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.3 | NJ 4.3.12 D.3
TOP: 9-7 Example 2 KEY: tessellation | tiling
107. ANS: B PTS: 1 DIF: L4 REF: 9-7 Tessellations
OBJ: 9-7.1 Identifying transformations in tessellations NAT: NAEP 2005 G2a | ADP K.6
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.3 | NJ 4.3.12 D.3
KEY: tessellation | tiling | pure tessellation
108. ANS: B PTS: 1 DIF: L3 REF: 9-7 Tessellations
OBJ: 9-7.2 Identifying symmetries in tessellations NAT: NAEP 2005 G2a | ADP K.6
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.3 | NJ 4.3.12 D.3
TOP: 9-7 Example 3
KEY: tessellation | tiling | transformation | rotational symmetry | translational symmetry
109. ANS: B PTS: 1 DIF: L2 REF: 9-5 Dilations
OBJ: 9-5.1 Locating dilation images NAT: NAEP 2005 G2c | ADP K.7
STA: NJ 4.1.12 B.1 | NJ 4.3.12 D.3 TOP: 9-5 Example 1
KEY: dilation | reduction | scale factor
110. ANS: B PTS: 1 DIF: L2
REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.2 Area of a Triangle
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-1 Example 3 KEY: triangle | area
111. ANS: D PTS: 1 DIF: L2
REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.2 Area of a Triangle
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-1 Example 3 KEY: triangle | area
112. ANS: B PTS: 1 DIF: L4
REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.2 Area of a Triangle
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-1 Example 3 KEY: area | triangle | rectangle | parallelogram
113. ANS: D PTS: 1 DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.1 Area of a Parallelogram
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-1 Example 1 KEY: area | base | height | parallelogram
ID: A
13
114. ANS: C PTS: 1 DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.2 Area of a Triangle
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 B.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-1 Example 3 KEY: area | triangle | rectangle
115. ANS: B PTS: 1 DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites OBJ: 10-2.1 Area of a Trapezoid
NAT: NAEP 2005 M1h | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-2 Example 2 KEY: area | trapezoid
116. ANS: B PTS: 1 DIF: L2 REF: 10-3 Areas of Regular Polygons
OBJ: 10-3.1 Areas of Regular Polygons NAT: NAEP 2005 M1h | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.2 | NJ 4.3.12 D.3
TOP: 10-3 Example 4 KEY: regular polygon | radius
117. ANS: A PTS: 1 DIF: L2
REF: 10-4 Perimeters and Areas of Similar Figures
OBJ: 10-4.1 Finding Perimeters and Areas of Similar Figures
NAT: NAEP 2005 M2g | NAEP 2005 N4c | ADP I.1.2 | ADP K.8.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.2 | NJ 4.3.12 A.3 | NJ 4.3.12 C.2
TOP: 10-4 Example 1 KEY: perimeter | area | similar figures
118. ANS: A PTS: 1 DIF: L2
REF: 10-4 Perimeters and Areas of Similar Figures
OBJ: 10-4.1 Finding Perimeters and Areas of Similar Figures
NAT: NAEP 2005 M2g | NAEP 2005 N4c | ADP I.1.2 | ADP K.8.3
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.2 | NJ 4.3.12 A.3 | NJ 4.3.12 C.2
TOP: 10-4 Example 4 KEY: similar figures | similarity ratio
119. ANS: B PTS: 1 DIF: L2 REF: 10-5 Trigonometry and Area
OBJ: 10-5.1 Finding the Area of a Regular Polygon
NAT: NAEP 2005 M1h | ADP I.4.1 | ADP K.11.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c | NJ 4.2.12 E.2 | NJ
4.3.12 D.3
KEY: area of a regular polygon | area | regular polygon | cosine | sine | measure of central angle of a regular
polygon
120. ANS: B PTS: 1 DIF: L2 REF: 10-5 Trigonometry and Area
OBJ: 10-5.2 Finding the Area of a Triangle
NAT: NAEP 2005 M1h | ADP I.4.1 | ADP K.11.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 10-5 Example 3
KEY: area | area of a triangle | problem solving | sine | word problem
121. ANS: B PTS: 1 DIF: L3 REF: 10-5 Trigonometry and Area
OBJ: 10-5.2 Finding the Area of a Triangle
NAT: NAEP 2005 M1h | ADP I.4.1 | ADP K.11.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 10-5 Example 3
KEY: area | area of a triangle | sine | problem solving | word problem
ID: A
14
122. ANS: A PTS: 1 DIF: L4 REF: 10-6 Circles and Arcs
OBJ: 10-6.1 Central Angles and Arcs NAT: NAEP 2005 M1h | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 D.2 | NJ 4.2.12 D.1 | NJ 4.3.12 D.3
TOP: 10-6 Example 3 KEY: measure of an arc | area of a circle
123. ANS: B PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Finding Areas of Circles and Parts of Circles
NAT: NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.4 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 10-7 Example 1 KEY: area of a circle | radius
124. ANS: A PTS: 1 DIF: L2 REF: 10-8 Geometric Probability
OBJ: 10-8.1 Using Segment and Area Models NAT: ADP K.4 | ADP L.4.1 | ADP L.4.5
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 | NJ 4.4.12 B.2 | NJ 4.4.12 B.3 | NJ 4.4.12 B.5 TOP: 10-8 Example 3
KEY: geometric probability
125. ANS: B PTS: 1 DIF: L3
REF: 11-1 Space Figures and Cross Sections OBJ: 11-1.2 Describing Cross Sections
NAT: NAEP 2005 G1b | ADP K.9
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.2 | NJ 4.2.12 B.2 | NJ 4.3.12 D.3
TOP: 11-1 Example 4 KEY: cross section | word problem
126. ANS: C PTS: 1 DIF: L2
REF: 11-2 Surface Areas of Prisms and Cylinders
OBJ: 11-2.1 Finding Surface Area of a Prism
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 11-2 Example 2
KEY: surface area formulas | lateral area | surface area | prism | surface area of a prism
127. ANS: A PTS: 1 DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.1 Finding Surface Area of a Pyramid
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 11-3 Example 1
KEY: surface area of a pyramid | surface area | surface area formulas | pyramid
128. ANS: D PTS: 1 DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.1 Finding Surface Area of a Pyramid
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 11-3 Example 2
KEY: pyramid | slant height of a pyramid | Pythagorean Theorem
129. ANS: A PTS: 1 DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.1 Finding Surface Area of a Pyramid
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 KEY: surface area of a pyramid | lateral area | pyramid | surface area formulas
ID: A
15
130. ANS: A PTS: 1 DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.2 Finding Surface Area of a Cone
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 11-3 Example 4
KEY: cone | slant height of a cone | Pythagorean Theorem
131. ANS: C PTS: 1 DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.2 Finding Surface Area of a Cone
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2 | ADP K.9
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 D.3 TOP: 11-3 Example 4
KEY: cone | surface area of a cone | surface area formulas | surface area
132. ANS: A PTS: 1 DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 Finding Volume of a Prism
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 11-4 Example 2
KEY: volume of a triangular prism | volume formulas | volume | prism
133. ANS: B PTS: 1 DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.2 Finding Volume of a Cylinder
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 11-4 Example 3
KEY: volume of a cylinder | cylinder | volume formulas | volume
134. ANS: C PTS: 1 DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.2 Finding Volume of a Cylinder
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 11-4 Example 3
KEY: volume of a cylinder | cylinder | volume formulas | volume | oblique cylinder
135. ANS: B PTS: 1 DIF: L2
REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.2 Finding Volume of a Cone
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 11-5 Example 3
KEY: volume of a cone | oblique cone | volume formulas | volume
136. ANS: B PTS: 1 DIF: L2
REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.2 Finding Volume of a Cone
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 D.2 | NJ 4.2.12 E.2 | NJ
4.3.12 A.3 | NJ 4.3.12 D.3 TOP: 11-5 Example 4
KEY: volume of a cone | volume formulas | volume | cone
ID: A
16
137. ANS: A PTS: 1 DIF: L2
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Finding Relationships in Area and Volume
NAT: NAEP 2005 M2g | ADP I.1.2 | ADP K.8.3
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 D.1 | NJ 4.2.12 E.2
TOP: 11-7 Example 1 KEY: similar solids | similarity ratio | rectangular prism
138. ANS: C PTS: 1 DIF: L2 REF: 12-1 Tangent Lines
OBJ: 12-1.2 Using Multiple Tangents NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 D.1 | NJ 4.2.12 E.1c
TOP: 12-1 Example 4
KEY: properties of tangents | tangent to a circle | Tangent Theorem
139. ANS: D PTS: 1 DIF: L3 REF: 12-2 Chords and Arcs
OBJ: 12-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1 | NJ 4.2.12 E.1b
TOP: 12-2 Example 3
KEY: circle | radius | chord | congruent chords | right triangle | Pythagorean Theorem
140. ANS: B PTS: 1 DIF: L2
REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Finding Segment Lengths
NAT: NAEP 2005 G3e | ADP J.5.1 | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1
TOP: 12-4 Example 3 KEY: segment length | tangent | secant
141. ANS: C PTS: 1 DIF: L2 REF: 12-2 Chords and Arcs
OBJ: 12-2.2 Lines Through the Center of a Circle NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1 | NJ 4.2.12 E.1b
TOP: 12-2 Example 3
KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
142. ANS: D PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a TOP: 12-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
143. ANS: D PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a TOP: 12-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
144. ANS: C PTS: 1 DIF: L3 REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a TOP: 12-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
145. ANS: C PTS: 1 DIF: L2 REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle NAT: NAEP 2005 G3e | ADP K.4
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a TOP: 12-3 Example 1
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
ID: A
17
146. ANS: A PTS: 1 DIF: L2
REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Finding Angle Measures
NAT: NAEP 2005 G3e | ADP J.5.1 | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1
TOP: 12-4 Example 1
KEY: circle | secant | angle measure | arc measure | intersection inside the circle
147. ANS: A PTS: 1 DIF: L3
REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Finding Angle Measures
NAT: NAEP 2005 G3e | ADP J.5.1 | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1
TOP: 12-4 Example 1
KEY: circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle
148. ANS: A PTS: 1 DIF: L2
REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Finding Segment Lengths
NAT: NAEP 2005 G3e | ADP J.5.1 | ADP K.4
STA: NJ 4.1.12 A.1 | NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 A.3c | NJ 4.2.12 A.4a | NJ 4.2.12 D.1
TOP: 12-4 Example 3
KEY: circle | intersection outside the circle | secant | tangent | diameter
149. ANS: B PTS: 1 DIF: L2
REF: 12-5 Circles in the Coordinate Plane
OBJ: 12-5.2 Finding the Center and Radius of a Circle NAT: NAEP 2005 G4d | ADP K.10.4
STA: NJ 4.1.12 B.1 | NJ 4.2.12 A.1 | NJ 4.2.12 C.1a | NJ 4.3.12 B.1 | NJ 4.3.12 D.3
TOP: 12-4 Example 4
KEY: center | circle | coordinate plane | radius | equation of a circle
150. ANS: B PTS: 1 DIF: L2 REF: 12-6 Locus: A Set of Points
OBJ: 12-6.1 Drawing and Describing a Locus NAT: NAEP 2005 G1d
STA: NJ 4.2.12 A.2 TOP: 12-6 Example 3
KEY: locus