# preview library built test (printable worksheet) page 1 is getting new carpet in her living room and

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Geometry

1. In the figure below, triangle PQT and triangle TRS are equilateral and triangle TQR is an isosceles right triangle.

Note: picture not drawn to scale

What is m PTS?

A. 120

B. 180

C. 210

D. 150

2. In the figure below, m PDE = 38, m APB = 68, and m AED = 101.

Note: picture not drawn to scale

What is m AEB?

A. 27

B. 207

C. 117

D. 74

3. Figure KLMN and figure PQRS, shown below, are similar figures.

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If KN = 3 cm, MN = 7 cm, RS = 14 cm, and PS = 6 cm, what is the scale factor of figure KLMN to figure PQRS?

A.

B.

C.

D.

4. A triangle has 2 sides that equal 5 inches. The other side equals 2 inches.

What kind of triangle is it?

A. isosceles triangle

B. equilateral triangle

C. right triangle

D. obtuse triangle

5.

3 cm

Note: picture not drawn to scale

The circle above has a radius of 3 cm. What is the area of the circle? Use = 3.14.

A. 9.42 cm2

B. 56.52 cm2

C. 28.26 cm2

D. 18.84 cm2

6. In the figure below, m WXY = 55, m XYW = 71, and m WZV = 78.

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Note: picture not drawn to scale

What is m ZVW?

A. 78

B. 71

C. 38

D. 48

7. If a cube is divided into two equal parts by a plane parallel to a face of the cube, which of the following best

describes the cross-section of the cube?

W. X. Y. Z.

A. W

B. X

C. Y

D. Z

8.

Picture is not drawn to scale.

The dimensions of rectangle A are three times the dimensions of rectangle B. The area of rectangle A is 882 cm2.

What is the area of rectangle B?

A. 98 cm2

B. 196 cm2

C. 294 cm2

D. 49 cm2

9. Vaughn is laying sod in his backyard. A diagram of his backyard is shown below.

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Note: figure not drawn to scale

If a = 21 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard?

A. 1,147 ft2

B. 89 ft2

C. 899 ft2

D. 24,087 ft2

10. How many triangles exist with the given side lengths?

3 cm, 5 cm, 9 cm

A. Exactly one unique triangle exists with the given side lengths.

B. More than one triangle exists with the given side lengths.

C. No triangle exists with the given side lengths.

11. In the figure below, m LMK = 26 and m KLM = 34.

Note: picture not drawn to scale

What is m MKJ?

A. 60

B. 52

C. 68

D. 120

12. A triangular prism is attached to a rectangular prism as shown below.

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If w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the surface area of the figure?

A. 960 square inches

B. 760 square inches

C. 860 square inches

D. 1,060 square inches

13. In the figure below, triangle TUV is isosceles, with TV UV, and triangle VWX is isosceles, with VX VW.

Note: picture not drawn to scale

If m TUV = 35, what is m TVX?

A. 80

B. 70

C. 65

D. 35

14. How many triangles exist with the given side lengths?

7 in, 7 in, 7 in

A. Exactly one unique triangle exists with the given side lengths.

B. No triangle exists with the given side lengths.

C. More than one triangle exists with the given side lengths.

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15. Abbey is getting new carpet in her living room and hallway. The following diagram shows the two together.

Note: figure not drawn to scale

If a = 34 ft, b = 14 ft, c = 17 ft, and d = 18 ft, what is the area of the living room and hallway together?

A. 83 ft2

B. 374 ft2

C. 782 ft2

D. 166 ft2

16. In the figure below, triangle PQR is an isosceles triangle, PR QR, and m PQR = 37.

Note: picture not drawn to scale

What is m QRS?

A. 106

B. 53

C. 74

D. 143

17. The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale

image of the poster. The poster is 48 inches wide, and the DVD cover art is 4 inches wide. If the diagonal of the

poster is 9 feet, what is the diagonal of the DVD cover art?

A. 0.75 inch

B. 12 inches

C. 8 inches

D. 9 inches

18. The dimensions of an office conference room are 15 feet by 27 feet. If the conference room blueprint dimensions

are 5 centimeters by 9 centimeters, what is the scale of the blueprint?

A. 1 centimeter = 15 feet

B. 1 centimeter = 3 feet

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C. 1 centimeter = 9 feet

D. 1 centimeter = 5 feet

19. A triangle has 3 sides that each equal 11 cm.

What kind of triangle is it?

A. obtuse triangle

B. equilateral triangle

C. scalene triangle

D. right triangle

20. How many triangles exist with the given angle measures?

55, 45, 90

A. More than one triangle exists with the given angle measures.

B. Exactly one unique triangle exists with the given angle measures.

C. No triangle exists with the given angle measures.

21.

Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 15 cm,

what is the height of the model on the right?

A. 17 cm

B. 20 cm

C. 22.5 cm

D. 30 cm

22. A triangle has 2 angles that measure 60.

What kind of triangle is it?

A. right triangle

B. scalene triangle

C. obtuse triangle

D. equiangular triangle

23.

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Note: Figure is not drawn to scale.

In the rectangular prism above, AB = 23 units, DH = 8 units, and GF = 9 units.

If the rectangular prism is divided into two parts by a plane parallel to face ABCD, which of the following best describes the resulting cross-section of the prism?

A. a rectangle with a length of 23 units and a width of 9 units

B. a square with side lengths of 23 units

C. a rectangle with a length of 9 units and a width of 8 units

D. a rectangle with a length of 23 units and a width of 8 units

24. In the cube shown below, the distance between vertices 2 and 6 is 13 cm.

If the cube is divided into two equal parts by a plane parallel to the face defined by vertices 2, 3, 6, and 7, what will be the area of the cross-section?

A. 52 sq cm

B. 39 sq cm

C. 169 sq cm

D. 13 sq cm

25.

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Note: Figure is not drawn to scale.

If a = 2 units, b = 3 units, c = 5 units, and d = 7 units, what is the volume of the figure above?

A. 65 cubic units

B. 126 cubic units

C. 62 cubic units

D. 83 cubic units

26. Preston drew a blueprint of an additional room he is planning to add to his house. On the blueprint, 1 centimeter

is equal to 4 feet in the actual room. If Preston wants the room to measure 12 feet by 16 feet, what are these

dimensions on the blueprint?

A. 3 cm by 8 cm

B. 3 cm by 4 cm

C. 6 cm by 8 cm

D. 4 cm by 6 cm

27. If a plane slices a cube through three points that are equidistant from one of its vertices, which of the following

best describes the cross-section of the cube?

W. X. Y. Z.

A. X

B. Z

C. W

D. Y

28. Ms. Hatcher bought the pencil decoration shown below for her bulletin board.

Note: figure not drawn to scale

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If a = 10 in and b = 23 in, what is the area of the pencil decoration?

A. 330 in2

B. 123 in2

C. 230 in2

D. 280 in2

29.

The diameter of the circle above is 24 in. What is the circumference of the circle? Use = 3.14.

A. 75.36 in

B. 37.68 in

C. 452.16 in

D. 904.32 in

30.

If the cube shown above is sliced by a plane through vertices 1, 6, and 8, which of the following best describes the cross-section of the cube?

W. X. Y. Z.

A. Y

B. X

C. Z

D. W

31.

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Above are two different diagrams of the same backyard. If the length o