directions: answer the following question(s).€¦ · 11 name the type of congruence transfomation...

1What does the symbol represent?

A. segment AB

B. line AB

C. Ray AB

D. Ray BA

2 "Two rays sharing a common endpoint" is thedefinition of which term?

A. angle

B. chord

C. line segment

D. secant

3 If triangle ABC is rotated 90 degreesclockwise about the origin, what are thecoordinates of B'?

A. (–4, –1)

B. (4, 1)

C. (1, –4)

D. (1, 4)

4 In this diagram where is the line of reflection?

A. x = 0

B. x = 1

C. y = 2

D. y = 3.5

5 The vertices of parallelogram ABCD areA(2 , 1), B(3 , 4), C(5 , 3), and D(4 , 0). ABCD isreflected over the x–axis to createparallelogram QRST. What are thecoordinates of QRST?

A. Q(–2 , 1), R(–3 , 4), S(–5 , 3), T(–4 , 0)

B. Q(–2 , –1), R(–3 , –4), S(–5 , –3), T(–4 , 0)

C. Q(1 , 2), R(4 , 3), S(3 , 5), T(0 , 4)

D. Q(2 , –1), R(3 , – 4), S(5 , –3), T(4 , 0)

Geometry February Break Extra Credit Assessment ID: ib.573505

Directions: Answer the following question(s).

Illuminate Itembank™ Continue: Turn to the next page.Generated On February 8, 2016, 3:59 PM PST

6 In this diagram, what is the BEST descriptionof the transformation shown?

A. Reflection

B. Rotation

C. Translation

D. Dilation

7 The vertices of ∆ABC are A(–4, 2), B(6, 6), C(2,7). A translation maps point A to the pointA'(6, –3). If B and C are mapped by the sametranslation, what are the coordinates of B' andC'?

A. B'(–4, 11), C'(–8, –12)

B. B'(8, 5), C'(4, 6)

C. B'(12, 3), C'(8, 4)

D. B'(16, 1), C'(12, 2)

8 Equilateral triangle ABC is shown below. Triangle ABC is then rotated 60 degreesclockwise about vertex C to produce triangleA'B'C'.

Select each statement that is true based onthe definition of a rotation.

A. Vertex C and vertex C' are located in the sameplace.

B. The measure of ∠B'C'A' is 120° since 60 + 60 =120.

C. The measure of ∠B' is 60° since the measure of∠B is 60°.

D. The measure of ∠BCB' is 60° since 60° is theangle of rotation.

9 Which statements are true for all rotationsabout the origin? Select three that apply.

A. Angles are taken to angles of the samemeasure.

B. Perpendicular lines are taken to perpendicularlines.

C. Circles are taken to circles of the same centerand radius.

D. Line segments are taken to line segments of thesame length.

10 A triangle with coordinates A(1, 1), B(4, 2),C(3, 5) is translated three units down and fiveunits to the left. What are the coordinates ofthe new triangle?

A. A'(–2, –4), B'(1, –3), C'(0, 0)

B. A'(–4, –2), B'(–1, –1), C'(–2, 2)

C. A'(–4, –2), B'(–7, –3), C'(–6, 0)

D. A'(–4, –2), B'(–1, –3), C'(–2, –6)




11 Name the type of congruence transfomation fromXYZ to X'Y'Z'.

A. reflection

B. rotation

C. translation

D. dilalation

12 Calculate the length of the side LN given thefollowing data for 37°.

Sin 37° = 0.602Cos 37° = 0.790Tan 37° = 0.754

A. 53

B. 9.97

C. 7.96

D. 7.51

13

In the figure above, the black shape is a dilationof the green shape. What is the scale factor ofthe dilation, and what is the center of thedilation?

A. scale factor: 3; center: 3, 0B. scale factor: 3; center: 0, 0C. scale factor: 2; center: 1/2, −1D. scale factor: 11/2 ; center: 11/2, −3E. scale factor: 1/2 ; center: 0, 0F. scale factor: 1/2 ; center: 3, 0G. scale factor: 1/3 ; center: 0, 0

14 Determine which pair of trigonometric valuesis equivalent.

A. cos 38°, sin 38°

B. cos 65°, sin 25°

C. sin 71°, sin 19°

D. cos 113°, cos 67°




15

Which congruence statement(s) can beproven using the givens and the figureabove?

A. ΔQRP ≅ ΔSRT only

B. ΔRQP ≅ ΔTRS only

C. ΔPQR ≅ ΔSTR only

D. All three of the congruence statements abovecan be proven.

16 Triangle PQR is shown below.

When triangle PQR is rotated about side QR,which of the following three–dimensionalfigures is created?

A. cone

B. cylinder

C. pyramid

D. triangular prism

17 A right circular cylinder is shown below.

Which of the following could be a two–dimensional figure that results when a planeintersects this right circular cylinder? Selectthree that apply.

A. circle

B. ellipse

C. triangle

D. rectangle

18 Jeffry needs to create a triangle for his wood-working project. He knows that one side of thetriangle needs to be 15 inches long and thehypotenuse needs to be 45 inches long. He hasdiagrammed his project (below) and needs helpto find the measure of angle Z where he plans tocut his board.

A. 70.5°

B. 19.5°

C. 18.4°

D. 78.2°




19 Right triangle PQR is shown.

Which trigonometric ratios are equivalent to3

5? Select two that apply.

A. cos P

B. sin P

C. cos R

D. sin R

E. tan R

20 A right circular cone is shown below. Theradius of the base of the cone is 30 cm andthe height of the cone is 40 cm.

Select each shape that could be the two–dimensional cross–section of this cone.

A. circle

B. ellipse

C. right triangle

D. isosceles triangle

21 Declan is a park ranger at Niagara Falls. One dayduring his shift a man rides over the falls in abarrel. Declan knows that the distance from hisobservation tower station to the ranger stationnear the top of the falls is 736 feet. The man is atan angle of 126° with a line connecting the twostations. The ranger at thebridge station reportsthat the angle from hisstation to the man is 23°.How far is the man from Declan?

A. 558.4 feet

B. 1661.5 feet

C. 592.9 feet

D. 394.8

22 "All points between and including two givenpoints" defines which term below?

A. ray

B. plane

C. circle

D. line segment




23 Look at this right triangle.

What is the area of ΔDEF?

A. 25 square units

B. 50 square units

C. 25 sqrt 5 square units

D. 50sqrt 5 square units

24 Select each transformation that carries asquare onto itself.

A. a reflection over one of the square's sides

B. a reflection over one of the square's diagonals

C. a rotation of 90° clockwise about the square'scenter

D. a rotation of 180° clockwise about the square'scenter

E. a rotation of 180° clockwise about one of thesquare's vertices

25 Tessa claims that a rotation of 90° clockwiseabout the center of some polygons will carrythe polygon onto itself. Select two polygonsthat support Tessa's claim.

A. square

B. octagon

C. hexagon

D. rectangle

26 What is the slope of a line parallel to the line

y = – 3

2x + 3?

A.–

3

2

B.–

2

3

C. 2

3

D. 3

2

27 Find the volume of a sphere with a diameterof 22m. Round to the nearest tenth.

A. 44,579.6 m3

B. 5572.4 m3

C. 1393.1 m3

D. 506.6 m3

28 Danny is building a pyramid modeled afterone of the Great Pyramids of Giza in Egypt. The Great Pyramid has a height of 480 feetand a square base with a side measuring 755feet.

If Danny builds the pyramid to one–eightieththe size, what will the volume be for hispyramid? (Round all numbers to the nearesttenth.)

A. 18.8 ft3

B. 176.7 ft3

C. 530.1 ft3

D. 1,140,050 ft3




29 A grain silo is approximately 85% full. A 55 lbsack of grain measures 2 cubic feet.

What is the best estimate of the number ofbags of grain that can be filled using all thegrain in the silo?

A. 1708 bags

B. 2010 bags

C. 6833 bags

D. 8038 bags

30 How many times do parallel lines intersect?

A. 0

B. 1

C. 2

D. 3

31 Select each statement that is true for allreflections in the coordinate plane.

A. A point that is mapped to itself after a reflectionis on the line of reflection.

B. A line segment connecting a point and its imagewill be perpendicular to the line of reflection.

C. The distance between a point and its image willbe twice the distance between the point and theline of reflection.

32 Triangle ABC is reflected over the line y = 1 toproduce triangle A'B'C'.

What will be the coordinates of B'?

A. (2 , 3)

B. (2 , 1)

C. (2 , 0)

D. (0 , 2)

33 Square ABCD is shown below.

Square ABCD is reflected about side BC. Which of the following statements are true? Select three that apply.

A. Vertex B is the midpoint of AA'.

B. Side BC is parallel to AA'.

C. The length of CD is equal to the length of C'D'.

D. Vertex C and vertex C' are located at the samepoint.




34 Anthony draws parallelogram ABCD belowand investigates the reflections and rotationsthat carry it onto itself.

Anthony claims that a rotation of 360° is theonly transformation that carries parallelogramABCD onto itself.

Which of the following transformations couldbe used to refute Anthony's claim? Selectthree that apply.

A. A reflection over diagonal AC.

B. A reflection over diagonal BD.

C. A rotation of 90° clockwise about its center.

D. A rotation of 180° clockwise about its center.

35 A circle is defined as

A. a flat surface extending in all directions.

B. all points between and including two givenpoints.

C. a closed plane figure in which all sides are linesegments.

D. the set of all points that are a fixed distance froma given point.

36 On a sunny day, Elliot notices that a lamppost casts a shadow on the ground. If theshadow is 18 ft long and the lamp post is 13 fttall, what is the angle of elevation of the sun? (Assume the lamp post is at a right angle tothe ground.)

A. 35.84°

B. 43.76°

C. 46.24°

D. 54.16°

37 After examining the following graph, Kateclaims that WXYZ is translated according tothe rule (x, y) → (x + 11, y – 2). Is she correct?

A. Yes, Kate is correct.

B. No, WXYZ is translated by the rule(x, y) → (x – 11, y + 2).

C. No, WXYZ is translated by the rule(x, y)→ (x + 2, y – 11).

D. No, WXYZ is translated by the rule(x, y) → (x – 2, y + 11).

38 The radius of Earth is 20,903,520 feet. Markwants to make a model globe of Earth that is

1

10,000,000of its actual size. What would be

the volume of Mark's globe? (Round to thenearest tenth. Use π = 3.14.)

A. 8.8 ft3

B. 18.3 ft3

C. 28.7 ft3

D. 38.2 ft3




39 What must be the length of PQ in order forΔJKL to be similar to ΔPQR?

A. 8

B. 15

C. 18

D. 19

40 Which pair of the following figures is similar?

A.

B.

C.

D.

41 Based on the triangles shown below,Theodore claims that ΔTUV is similar toΔWXY with a scale factor of 3:2. Is Theodorecorrect?

A. Yes, the triangles are similar with a scale factorof 3:2.

B. No, the triangles are similar with a scale factor of2:1.

C. No, the triangles are similar with a scale factor of2:3.

D. No, the triangles are similar with a scale factor of4:3.

42 A tree is standing next to a 40 foot high building.The tree has an 18 foot shadow, while thebuilding has a 16 foot shadow. How tall is the treerounded to the nearest foot?

A. 42 feet

B. 36 feet

C. 45 feet

D. 7 feet

43 Which of the following is NOT a valid TriangleCongruence Theorem?

A. SSS

B. ASA

C. SAS

D. SSA




44 Mikhail draws triangles ABC and DEF, asshown below, and claims that the twotriangles are similar.

Select all methods that can be used to justifythe claim.

A. show that ∠C ≅ ∠D and that all correspondingsides are congruent

B. show that ∠C ≅ ∠D and that all correspondingsides are proportional

C. show that a sequence of rotations, reflections,and translations carries triangle ABC ontotriangle DEF

D. show that a sequence of rotations, reflections,translations, and dilations carries triangle ABConto triangle DEF

45 What is the volume of the right cylinderpictured below?

A. 69 π mm3

B. 80 π mm3

C. 150 π mm3

D. 600 π mm3

46 Find the volume of the pyramid and round tothe nearest tenth.

A. 33.3 cm3

B. 37.5 cm3

C. 66.7 cm3

D. 100 cm3




47 Which theorem or postulate can be used toprove ΔRPQ ≅ ΔRST?

Given R is the midpoint of QT and QT bisectsPS at R.

A. SSS

B. SSA

C. SAS

D. There is not enough information to prove thesetriangles are congruent.

48 Roberto is driving his car in a race and needsto plan how far he is going to go and howmuch gas he needs. The race track is in theshape of a triangle. He needs to know thedistance of x so he can plan properly. Alldistances are miles. Find the value of x.Round to the nearest tenth.

A. 2.4 miles

B. 1.79 miles

C. 1.1 miles

D. None of the above

49 A semi–circle with points A and B is shownbelow.

When the semi–circle is rotated about theside AB, which of the following three–dimensional figures is created?

A. cone

B. cylinder

C. cube

D. sphere




50 A bowl is shown below. The diameter of thebowl is 5 inches at its opening and 3 inches atits base. The bowl's height is 4 inches.

Kellie develops the three models below toestimate the amount of cereal that can beplaced in the bowl.

Model 1: A half–sphere with a diameter of 5inchesModel 2: A cylinder with a diameter of 3inches and a height of 4 inchesModel 3: A cylinder with a diameter of 5inches and a height of 4 inches

Which statement is true regarding the amountof cereal that can be placed in the bowl?

A. Model 1 overestimates the amount of cereal,while Models 2 and 3 underestimate the amountof cereal.

B. Model 3 overestimates the amount of cereal,while Models 1 and 2 underestimate the amountof cereal.

C. Models 1 and 3 overestimate the amount ofcereal, while Model 2 underestimates theamount of cereal.

D. Models 1, 2, and 3 all overestimate the amountof cereal.

51 A driveway is shown below with all of thedimensions given in feet.

The driveway needs to be resurfaced. What isthe best estimate of the area of the driveway?

A. 100π ft2

B. 125π ft2

C. 225π ft2

D. 500π ft2

52 A lumberyard is asked to cut down a portionof a forest in order to build a new school.

Which of the following would be least usefulin determining the volume of wood that thelumberyard can expect?

A. the average age of the trees in the forest

B. the average number of trees per acre of forest

C. the dimensions of the average tree in the forest

D. the number of acres in the portion of the forestto be cut down

53 A person wants to estimate the number offish that are in a lake.

Which of the following would be least usefulin determining the number of fish in a lake?

A. the average number of fish per square mile

B. the length and width of the lake

C. the depth of the lake

D. the number of fish caught per day



Illuminate Itembank™ Stop: You have finished the assessment.Generated On February 8, 2016, 3:59 PM PST

directions: answer the following question(s).€¦ · 11 name the type of congruence transfomation...

Documents