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Name: ________________________ Class: ___________________ Date: __________ ID: A
1
Geometry Chapter4 Review
____ 1. Classify ∆PQR.
a. none of these b. Isosceles c. Scalene d. Equilateral
____ 2. Name a right triangle.
a. ∆BDC b. none of these c. ∆ADB d. ∆ABC
____ 3. A triangle has angle measures of 60°, 60°, and 60°. Choose the term that describes the triangle.
a. Equiangular b. Right c. Obtuse d. Scalene
____ 4. How many obtuse angles can an isosceles triangle have?
a. 2 b. 3 c. 0 d. 1
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Name: ________________________ ID: A
2
____ 5. Find the value of x:
a. 127° b. 35° c. 88° d. 145°
____ 6. Find the value of x.
a. 117 b. 297 c. 66 d. 51
____ 7. Find the value of x.
a. 14° b. 166° c. 104° d. 28°
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Name: ________________________ ID: A
3
____ 8. Find the measure of the interior angles to the nearest tenth. (Drawing is not to scale.)
a. 70.9°, 19.1°, 90.0° c. 67.8°, 25.2°, 87.0°
b. 66.9°, 22.1°, 91.0° d. 68.4°, 21.1°, 90.5°
____ 9. Use the figure below to solve for x.
a. 55 b. 90 c. 145 d. 45
____ 10. Refer to the figure below. m∠C = .
a. 100° b. 17° c. 148° d. 15°
____ 11. Refer to the figure below. m∠A = .
a. 67° b. 35° c. 141° d. 74°
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Name: ________________________ ID: A
4
____ 12. The measure of ∠B is .
a. 99° b. 89° c. 79° d. 101°
____ 13. Which pair of lengths can be two of the sides of an isosceles triangle which has a perimeter of 52 inches?
a. 15 inches, 25 inches c. 12 inches, 22 inches
b. 15 inches, 22 inches d. 16 inches, 21 inches
____ 14. What is the value of z? (The figure may not be drawn to scale.)
a. z = 56 b. z = 25 c. z = 64 d. z = 31
15. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
What is the measure, in degrees, of ∠QPN?
16. Complete the statement using one of the following words: always, sometimes, or never. "An isosceles
triangle is an obtuse triangle."
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Name: ________________________ ID: A
5
17. Find the measures of all three angles of the triangle.
The expressions given represent the measures of the acute angles of a right triangle. Find the measure
of each acute angle.
18. x û , 2x û
19. 5x û , 13x û
____ 20. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.
a. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 5 ft
b. a = 5 ft; b = 28°; c = 62°; d = 90°; e = 5 ft
c. a = 9.5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft
d. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft
____ 21. If ∆ABC ≅ ∆DEF, AB = 10 feet, m∠B = 27°, and m∠F = 14°, which of the following statements is false?
a. AC = DF c. m∠E = 139°
b. ∠C ≅ ∠F d. AB = DE
____ 22. In the diagram, ∠B ≅ ∠E and ∠C ≅ ∠F. Find the value of x.
a. x = 50 b. x = 25 c. x = 75 d. x = 35
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Name: ________________________ ID: A
6
____ 23. If ∆ABC ≅ ∆PQR and ∆PQR ≅ ∆LMK , then ∆ABC ≅ ∆LMK. This illustrates which property of congruence?
a. Transitive b. Commutative c. Symmetric d. Reflexive
____ 24. If ∆MNO ≅ ∆VWX, which statement is NOT true?
a. NO ≅ VW c. MO ≅ VX
b. ∠O ≅ ∠X d. ∠N ≅ ∠W
25. Given: ∆LMN ≅ ∆UVW . Complete the statements.
a. UW ≅
b. ∠LMN ≅
26. If ∆RPQ ≅ ∆JKL, then LJ ≅ .
____ 27. Refer to the figure below. ∆ABC ≅ .
a. ∆CDE b. ∆EDA c. ∆ACE d. ∆EDC
Explain how you know the triangles are congruent. Then write an equation and solve for x.
____ 28.
a. Side-Angle-Side; x − 3 = 8, 5 c. Side-Angle-Side; x − 3 = 8, 11
b. Side-Side-Side; x − 3 = 8, 11 d. Side-Side-Side; x − 3 = 8, 5
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Name: ________________________ ID: A
7
____ 29. Determine which triangle is congruent to the given triangle.
a. none of these c.
b. d.
____ 30. Refer to the figure below. Which of the following statements is true?
HLK is isosceles with base HK , ∠IHL and ∠JKL are right angles, IK ≅ JH
a. ∆HIL ≅ ∆KJL by HL c. ∆HKI ≅ ∆HJK by SAS
b. ∆HLK ≅ ∆JLK by SSS d. There are no congruent triangles.
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Name: ________________________ ID: A
8
____ 31. What must be true in order for ∆ABC ≅ ∆EDC by the SAS Congruence Postulate?
a. ∠B ≅ ∠D b. ∠A ≅ ∠E c. AC ≅ CE d. AB ≅ DE
____ 32. Refer to the figure shown. Which of the following statements is true?
a. ∆TUV ≅ ∆XWV by ASA c. ∆TUV ≅ ∆WXV by SAS
b. ∆TUV ≅ ∆VWX by SAS d. ∆TUV ≅ ∆WXV by SSS
____ 33. Given:∠B ≅ ∠E and ∠C ≅ ∠F. What other piece of information is needed to show ∆ABC ≅ ∆DEF by ASA
Congruence Postulate?
a. EF ≅ FE b. BC ≅ EF c. ∠A ≅ ∠D d. ∠B = ∠F
____ 34. ∆ABD ≅ ∆CBD. Name the theorem or postulate that justifies the congruence.
a. ASA b. AAS c. SAS d. HL
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Name: ________________________ ID: A
9
Would HL, ASA, SAS, AAS, or SSS be used to justify that the pair of triangles is congruent?
35.
____ 36. Which postulate or theorem can be used to determine the length of RT ?
a. ASA Congruence Postulate c. SSS Congruence Postulate
b. AAS Congruence Theorem d. SAS Congruence Postulate
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Name: ________________________ ID: A
10
____ 37. Given: BD bisects ∠ABC, AB ≅ BC
Prove: AD ≅ CD
Proof:
Statements Reasons
1. AB ≅ BC 1. Given
2. BD ≅ BD 2. Reflexive Prop. of ≅
3. BD bisects ∠ABC 3. Given
4. ? 4. Def. of bisector
5. ∆ABD ≅ ∆CBD 5. SAS Congruence Postulate
6. AD ≅ CD6. Corresponding Parts of
Congruent Triangles are Congruent
The missing step in the proof is .
a. ∠BAD ≅ ∠BCD c. ∠ABD ≅ ∠CBD
b. ∠BDA ≅ ∠BDC d. ∠ABC ≅ ∠CBA
____ 38. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 40 degrees and its
2 congruent sides measure 25 units?
a. 70° b. 140° c. 50° d. 40°
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Name: ________________________ ID: A
11
____ 39. In ∆ABC, AB = 3x – 2, BC = x + 4, and AC = 7. Also AB ≅ BC . Which term does NOT describe ∆ABC?
a. Equilateral b. Acute c. Isosceles d. Obtuse
____ 40. In ∆ABC, if AB ≅ BC and m∠A = 39°, then m∠C = .
a. 102° b. 39° c. m∠B d. 141°
____ 41. Find the values of x and y.
a. x = 84°, y = 96° c. x = 12°, y = 96°
b. x = 84°, y = 64° d. x = 12°, y = 84°
____ 42. Given: ∆ABC ≅ ∆DEF with AB ≅ BC . Which statement of congruence is not provable?
a. ∆ABC ≅ ∆CBA b. ∆DEF ≅ ∆CBA c. ∆ABC ≅ ∆FDE d. ∆ABC ≅ ∆FED
____ 43. Given m∠NOP = m∠NPO; NO = 2n + 4; NP = 8n − 3; OP = 9; find NO.
a. NO = 3 c. NO = 7
6
b. NO = 19
3d. NO = 22
44. Refer to the figure below. Give a reason to justify the statement.∠CDO ≅ ∠COD
45. In ∆ABC, AC = BC. The length of AC is three times the length of AB. Find the lengths of all three sides of
the triangle if the perimeter of the triangle is 35 inches.
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Name: ________________________ ID: A
12
____ 46. The change in position from the solid figure to the dotted figure is best described as a .
a. reflection b. transmission c. rotation d. translation
____ 47. Which picture shows a reflection of the flag?
a. c.
b. d.
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Name: ________________________ ID: A
13
____ 48. Which graph represents a reflection in the x-axis?
a. c.
b. d.
____ 49. A point P has coordinates (6, –4). What are its new coordinates after point P is reflected over the y-axis?
a. (6, 4) b. (–6, 4) c. (6, –4) d. (–6, –4)
____ 50. Identify the coordinates of the image point formed after (–1, 3) is reflected over the x-axis.
a. (–1, 3) b. (1, 3) c. (1, –3) d. (–1, –3)
____ 51. What is the translation image of (–3, –6) after the translation x, yÊËÁÁ ˆ
¯˜̃ → (x+ 4, y+ 3)?
a. (–7, –9) b. (1, –9) c. (–7, –3) d. (1, –3)
____ 52. Identify the coordinates of the point (–5, –3) after a rotation of 180° clockwise about the origin.
a. (–5, 3) b. (5, 3) c. (–3, –5) d. (5, –3)
____ 53. Identify the coordinates of the point (10, –20) after a clockwise rotation of 180° about the origin.
a. (–10, 20) b. (10, 20) c. (–20, –10) d. (–10, –20)
____ 54. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns,
walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have
produced the same final result in terms of the position of the person and the direction the person faces?
a. reflection over the north-south axis
b. rotation
c. translation
d. reflection over the east-west axis
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Name: ________________________ ID: A
14
The vertices of a polygon are given. Graph the polygon. Then graph its image using the indicated
reflection.
____ 55. A 3, 0ÊËÁÁ ˆ
¯˜̃ , B 6, 2Ê
ËÁÁ ˆ
¯˜̃ , C 5, 5Ê
ËÁÁ ˆ
¯˜̃ , D 2, 3Ê
ËÁÁ ˆ
¯˜̃ ; reflection in the y-axis
a. c.
b. d.
____ 56. F −6, 3ÊËÁÁ ˆ
¯˜̃ , G −3, 3Ê
ËÁÁ ˆ
¯˜̃ , H −6, 6Ê
ËÁÁ ˆ
¯˜̃; reflection in the y-axis
a. c.
b. d. none of these
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Name: ________________________ ID: A
15
57. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
The graph of the line 2x − 3y = 6 is shown below.
If every point on the graph of the line 2x − 3y = 6 is translated left 6 units, what is the y-intercept of the
image line?
58. What is the translation image of (-5, -7) after the translation x, yÊËÁÁ ˆ
¯˜̃ → (x− 2, y+ 4)?
Describe the given translation using coordinate notation.
59. Every point moves to the left 2 units and down 1 unit.
60. Every point moves to the right 4 units and down 3 units.
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ID: A
1
Geometry Chapter4 Review
Answer Section
1. ANS: B PTS: 1 DIF: Level A REF: MLGE0222
NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: triangle | classify | isosceles | equilateral | scalene BLM: Knowledge
NOT: 978-0-618-65613-4
2. ANS: D PTS: 1 DIF: Level A REF: MHGM0048
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: identify | right | obtuse | acute | triangle BLM: Knowledge
NOT: 978-0-618-65613-4
3. ANS: A PTS: 1 DIF: Level A REF: HLGM0266
NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | acute | triangle | measure
BLM: Knowledge NOT: 978-0-618-65613-4
4. ANS: D PTS: 1 DIF: Level B REF: HLGM0272
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: obtuse | triangle | isosceles
BLM: Comprehension NOT: 978-0-618-65613-4
5. ANS: D PTS: 1 DIF: Level A REF: MHGM0049
STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |
MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | theorem | exterior BLM: Comprehension
NOT: 978-0-618-65613-4
6. ANS: D PTS: 1 DIF: Level A REF: MHGM0050
STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |
MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | exterior | exterior angle BLM: Comprehension
NOT: 978-0-618-65613-4
7. ANS: A PTS: 1 DIF: Level A REF: MOT70177
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | right | triangle | sum
BLM: Comprehension NOT: 978-0-618-65613-4
8. ANS: D PTS: 1 DIF: Level B REF: MLGE0224
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: solve | triangle sum
BLM: Comprehension NOT: 978-0-618-65613-4
9. ANS: D PTS: 1 DIF: Level B REF: MLGE0226
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: solve | angle | triangle
BLM: Comprehension NOT: 978-0-618-65613-4
10. ANS: B PTS: 1 DIF: Level B REF: HLGM0292
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | triangle | measure
BLM: Comprehension NOT: 978-0-618-65613-4
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ID: A
2
11. ANS: A PTS: 1 DIF: Level B REF: HLGM0293
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | triangle | measure
BLM: Comprehension NOT: 978-0-618-65613-4
12. ANS: D PTS: 1 DIF: Level B REF: HLGM0294
NAT: NCTM 9-12.GEO.1.a
STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |
MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | triangle | measure BLM: Comprehension
NOT: 978-0-618-65613-4
13. ANS: B PTS: 1 DIF: Level B REF: MC100123
STA: MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: triangle | perimeter | side | isosceles BLM: Application
NOT: 978-0-618-65613-4
14. ANS: C PTS: 1 DIF: Level B REF: MCT90016
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | triangle | sum | interior | supplement | complementary | exterior
BLM: Comprehension NOT: 978-0-618-65613-4
15. ANS: 142
PTS: 1 DIF: Level B REF: MC100130 NAT: NCTM 9-12.REP.1
STA: MI.MIGLC.MTH.06.9-12.L2.3.2 | MI.MIGLC.MTH.06.9-12.G1.2.1 |
MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | triangle | supplement | exterior BLM: Comprehension
NOT: 978-0-618-65613-4
16. ANS: sometimes
PTS: 1 DIF: Level B REF: MLGE0447 NAT: NCTM 9-12.GEO.1.a
STA: MI.MIGLC.MTH.06.9-12.L3.3.3 TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: obtuse | triangle | isosceles BLM: Comprehension
NOT: 978-0-618-65613-4
17. ANS:
66°, 64°, 50° (x = 33)
PTS: 1 DIF: Level B REF: MLGE0225
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | triangle | measure
BLM: Comprehension NOT: 978-0-618-65613-4
18. ANS:
30û , 60û
PTS: 1 DIF: Level B REF: 7f532474-cdbb-11db-b502-0011258082f7
TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: Right triangle | complementary angles BLM: Knowledge
NOT: 978-0-618-65613-4
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ID: A
3
19. ANS:
25û , 65û
PTS: 1 DIF: Level B REF: 7f534b84-cdbb-11db-b502-0011258082f7
TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: Right triangle | complementary angles BLM: Knowledge
NOT: 978-0-618-65613-4
20. ANS: D PTS: 1 DIF: Level B REF: MHGM0045
STA: MI.MIGLC.MTH.06.9-12.G1.1.2 TOP: Lesson 4.2 Apply Congruence and Triangles
KEY: triangle | missing | congruent BLM: Comprehension
NOT: 978-0-618-65613-4
21. ANS: C PTS: 1 DIF: Level B REF: DJAM1027
NAT: NCTM 9-12.GEO.1.b
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.2 Apply Congruence and Triangles KEY: triangles | congruent
BLM: Comprehension NOT: 978-0-618-65613-4
22. ANS: B PTS: 1 DIF: Level B REF: MLGE0047
NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.2 Apply Congruence and Triangles
KEY: angle | triangle | measure | congruent BLM: Comprehension
NOT: 978-0-618-65613-4
23. ANS: A PTS: 1 DIF: Level B REF: HLGM0275
STA: MI.MIGLC.MTH.06.9-12.G2.3.2 TOP: Lesson 4.2 Apply Congruence and Triangles
KEY: triangle | congruent | transitive property BLM: Comprehension
NOT: 978-0-618-65613-4
24. ANS: A PTS: 1 DIF: Level B REF: MCT90021
STA: MI.MIGLC.MTH.06.9-12.G1.1.2 TOP: Lesson 4.2 Apply Congruence and Triangles
KEY: triangle | congruent BLM: Comprehension
NOT: 978-0-618-65613-4
25. ANS: a. LN b. ∠UVW
PTS: 1 DIF: Level A REF: MLGE0123 STA: MI.MIGLC.MTH.06.9-12.G1.1.2
TOP: Lesson 4.2 Apply Congruence and Triangles
KEY: angle | triangle | segment | congruent BLM: Knowledge
NOT: 978-0-618-65613-4
26. ANS:
QR
PTS: 1 DIF: Level A REF: HLGM0258
TOP: Lesson 4.2 Apply Congruence and Triangles KEY: triangle | congruent
BLM: Knowledge NOT: 978-0-618-65613-4
27. ANS: D PTS: 1 DIF: Level B REF: HLGM0273
TOP: Lesson 4.3 Prove Triangles Congruent by SSS KEY: triangle | congruent
BLM: Comprehension NOT: 978-0-618-65613-4
28. ANS: B PTS: 1 DIF: Level B REF: MGR80076
TOP: Lesson 4.3 Prove Triangles Congruent by SSS KEY: SSS Congruence | triangle
BLM: Comprehension NOT: 978-0-618-65613-4
-
ID: A
4
29. ANS: C PTS: 1 DIF: Level B REF: MGCS0293
TOP: Lesson 4.3 Prove Triangles Congruent by SSS KEY: triangle | congruent
BLM: Comprehension NOT: 978-0-618-65613-4
30. ANS: A PTS: 1 DIF: Level B REF: MLGE0231
TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL KEY: triangle | congruence
BLM: Comprehension
31. ANS: C PTS: 1 DIF: Level B REF: HLGM0307
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL KEY: triangle | congruent | SAS
BLM: Knowledge NOT: 978-0-618-65613-4
32. ANS: C PTS: 1 DIF: Level B REF: MLGE0234
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL
KEY: triangle | parallel lines | congruence | ASA | SAS BLM: Comprehension
NOT: 978-0-618-65613-4
33. ANS: B PTS: 1 DIF: Level C REF: HLGM0317
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS KEY: triangle | congruent | ASA
BLM: Comprehension NOT: 978-0-618-65613-4
34. ANS: B PTS: 1 DIF: Level B REF: MHGM0080
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS
KEY: triangle | congruence | ASA | HL | AAS | SAS BLM: Comprehension
NOT: 978-0-618-65613-4
35. ANS:
AAS
PTS: 1 DIF: Level B REF: MIM20468
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS KEY: congruent | proof | triangle
BLM: Comprehension NOT: 978-0-618-65613-4
36. ANS: B PTS: 1 DIF: Level B REF: HLGM0316
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.6 Use Congruent Triangles KEY: triangle | length | segment | AAS
BLM: Comprehension NOT: 978-0-618-65613-4
37. ANS: C PTS: 1 DIF: Level A REF: MLGE0235
NAT: NCTM 9-12.REA.4 | NCTM 9-12.GEO.1.c | NCTM 9-12.REA.3
STA: MI.MIGLC.MTH.06.9-12.G1.4.2 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.6 Use Congruent Triangles KEY: congruent | proof | bisector
BLM: Comprehension NOT: 978-0-618-65613-4
38. ANS: A PTS: 1 DIF: Level B REF: TASH0121
STA: MI.MIGLC.MTH.06.9-12.G1.3.1 TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: angle | triangle | isosceles BLM: Comprehension
NOT: 978-0-618-65613-4
-
ID: A
5
39. ANS: D PTS: 1 DIF: Level C REF: HLGM0274
NAT: NCTM 9-12.REP.2 | NCTM 9-12.PRS.3 | NCTM 9-12.GEO.1.a
STA: MI.MIGLC.MTH.06.9-12.A1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: triangle | segment | congruent
BLM: Comprehension NOT: 978-0-618-65613-4
40. ANS: B PTS: 1 DIF: Level B REF: HLGM0295
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: angle | triangle | segment | isosceles | congruent BLM: Comprehension
NOT: 978-0-618-65613-4
41. ANS: D PTS: 1 DIF: Level B REF: PHGM0402
NAT: NCTM 9-12.GEO.1.a
STA: MI.MIGLC.MTH.06.9-12.G1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2 |
MI.MIGLC.MTH.06.9-12.G1.3.1 TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: angle | isosceles | exterior angle BLM: Comprehension
NOT: 978-0-618-65613-4
42. ANS: C PTS: 1 DIF: Level C REF: HLGM0315
STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: triangle | segment | congruent
BLM: Comprehension NOT: 978-0-618-65613-4
43. ANS: B PTS: 1 DIF: Level B REF: MLGM0035
NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH.06.9-12.G2.3.2
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: variable | triangle | properties
BLM: Comprehension NOT: 978-0-618-65613-4
44. ANS:
If two sides of a triangle are congruent, then the angles opposite them are congruent.
PTS: 1 DIF: Level B REF: MLGE0240 NAT: NCTM 9-12.GEO.1.a
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: triangle | congruent
BLM: Knowledge NOT: 978-0-618-65613-4
45. ANS:
AC = 15 in., BC = 15 in., AB = 5 in.
PTS: 1 DIF: Level B REF: MIM20475 STA: MI.MIGLC.MTH.06.9-12.G1.2.2
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: word | perimeter | length | isosceles triangle BLM: Comprehension
NOT: 978-0-618-65613-4
46. ANS: A PTS: 1 DIF: Level B REF: TASH0070
STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3
TOP: Lesson 4.8 Perform Congruence Transformations
KEY: reflection | rotation | translation | transformation BLM: Knowledge
NOT: 978-0-618-65613-4
47. ANS: B PTS: 1 DIF: Level A REF: TASH0022
STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3
TOP: Lesson 4.8 Perform Congruence Transformations KEY: reflection | rotation | translation
BLM: Knowledge NOT: 978-0-618-65613-4
-
ID: A
6
48. ANS: B PTS: 1 DIF: Level A REF: DD020284
STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3
TOP: Lesson 4.8 Perform Congruence Transformations KEY: translations
BLM: Knowledge NOT: 978-0-618-65613-4
49. ANS: D PTS: 1 DIF: Level A REF: MLGM0092
TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | axis | coordinates | reflection
BLM: Comprehension NOT: 978-0-618-65613-4
50. ANS: D PTS: 1 DIF: Level A REF: MLGM0074
TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | axis | coordinates | reflection
BLM: Comprehension NOT: 978-0-618-65613-4
51. ANS: D PTS: 1 DIF: Level B REF: MLGM0093
NAT: NCTM 9-12.GEO.3.a TOP: Lesson 4.8 Perform Congruence Transformations
KEY: evaluate | point | coordinates | translation BLM: Comprehension
NOT: 978-0-618-65613-4
52. ANS: B PTS: 1 DIF: Level B REF: MLGM0098
TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | rotation
BLM: Comprehension NOT: 978-0-618-65613-4
53. ANS: A PTS: 1 DIF: Level B REF: PMG71121
TOP: Lesson 4.8 Perform Congruence Transformations KEY: rotation
BLM: Comprehension NOT: 978-0-618-65613-4
54. ANS: C PTS: 1 DIF: Level C REF: MC100132
STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3
TOP: Lesson 4.8 Perform Congruence Transformations KEY: word | rotation | transformation
BLM: Application NOT: 978-0-618-65613-4
55. ANS: D PTS: 1 DIF: Level A REF: MLPA0725
TOP: Lesson 4.8 Perform Congruence Transformations KEY: graph | polygon | axis | reflection
BLM: Comprehension NOT: 978-0-618-65613-4
56. ANS: A PTS: 1 DIF: Level A REF: MLPA0726
TOP: Lesson 4.8 Perform Congruence Transformations
KEY: graph | triangle | vertices | coordinate | reflection BLM: Comprehension
NOT: 978-0-618-65613-4
57. ANS: 2
PTS: 1 DIF: Level B REF: MC100251 NAT: NCTM 9-12.REP.1
STA: MI.MIGLC.MTH.06.9-12.L2.3.2 | MI.MIGLC.MTH.06.9-12.G3.1.1
TOP: Lesson 4.8 Perform Congruence Transformations
KEY: line | equation | translate | y-intercept | standard form BLM: Comprehension
NOT: 978-0-618-65613-4
58. ANS:
(–7, –3)
PTS: 1 DIF: Level B REF: MLGM0094 NAT: NCTM 9-12.GEO.3.a
TOP: Lesson 4.8 Perform Congruence Transformations
KEY: evaluate | point | coordinates | translation BLM: Comprehension
NOT: 978-0-618-65613-4
-
ID: A
7
59. ANS:
(x, y) → (x – 2, y – 1)
PTS: 1 DIF: Level B REF: BS022316
TOP: Lesson 4.8 Perform Congruence Transformations KEY: coordinate | translation
BLM: Knowledge NOT: 978-0-618-65613-4
60. ANS:
(x, y) → (x + 4, y – 3)
PTS: 1 DIF: Level B REF: BS022318
TOP: Lesson 4.8 Perform Congruence Transformations KEY: coordinate | translation
BLM: Knowledge NOT: 978-0-618-65613-4
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