Name: ________________________ Class: ___________________ Date: __________ ID: A

1

HONORS GEOMETRY - CHAPTER 10-11 FINAL EXAM PREP____ 1. Convert 3° to radians.

a. 120 rad c.

60 radb. rad d.

30 rad

____ 2. Convert 1136 radians into degrees.

a. 55° c. 110°b. 0.15° d. 0.31°

3. In the diagram, TU 22 and TV 122. If UV is tangent to T , then UV = ____.

4. In the diagram, point M is a point of tangency, NM 336, and NP 294. What is the radius of K?

____ 5. In the diagram, MN is tangent to K at M , NP is tangent to K at P , MN 128, and NP 2x 70. Find the value of x.

a. x = 29 c. x = –9b. x = 99 d. x = 38

Name: ________________________ ID: A

2

6. In the diagram, TV is a diameter and mVRX 46. Identify each arc as a major arc, minor arc, or semicircle. Then find the measure of the arc.

a. VXb. VTXc. VXT

7. Find the measure of each arc.a . PRb. MPRc. MRTd. MT

____ 8. In the diagram, JM is a diameter of N and PK 13. Find HP.

a. HP = 13 c. HP = 39b. HP = 6.5 d. HP = 33

9. Find the indicated measure.

a. mTb. mQR

Name: ________________________ ID: A

3

____ 10. In the diagram, mQ 75 and mQS 133. Find mQR.

a. mQR = 77 c. mQR = 47b. mQR = 150 d. mQR = 152

11. ABC is a right triangle with mC 90. ABC is inscribed in P. PA 6 centimeters and mBC 138. a. Draw a diagram of this scenario.b. Find the diameter of P.c. Find AC.d. Find BC.e. Find the area of ABC.

Name: ________________________ ID: A

4

Match the measure below with one of the diagrams. Use each diagram only once.a. d.

b. e.

c. f.

____ 12. mC 36____ 13. mAB 68____ 14. mAB 118____ 15. mC 55____ 16. mAB 124____ 17. mAB 114

Name: ________________________ ID: A

5

Find the value of x. 18.

____ 19.

a. x = 35 c. x = 27b. x = 75 d. x = 77.5

Name: ________________________ ID: A

6

In each of the following diagrams, x 27. Order the diagrams by mAB from least to greatest.a. d.

b. e.

c.

____ 20. least mAB____ 21. second least mAB____ 22. middle mAB____ 23. second greatest mAB____ 24. greatest mAB

Name: ________________________ ID: A

7

____ 25. In the diagram, RP 18, PQ x 16, RS x 14, and ST x 10. Find the value of x.

a. x = 6 c. x = 8.1b. x = 9.5 d. x = 10

____ 26. Which of the following diagrams are not possible based on the given measurements? a. c.

b. d.

____ 27. The point (9, 7) is on a circle with center (8, 4). Write the standard equation of the circle. a. x 8 2 y 4

2 410 c. x 4 2 y 8 2 410

b. x 8 2 y 4 2 410 d. x 8 2 y 4

2 410____ 28. The circumference of a circle is 34 centimeters. Find the radius of this circle.

a. about 213.63 cm c. about 5.41 cmb. about 10.82 cm d. about 106.81 cm

____ 29. Find the diameter of a circle with an area of 27.2 square centimeters.a. about 5.88 cm c. about 4.33 cmb. about 8.66 cm d. about 2.94 cm

Name: ________________________ ID: A

8

____ 30. Find the area of Y .

a. about 263.08 m2 c. about 826.48 m2

b. about 2375.83 m2 d. about 1547.65 m2

____ 31. Find the area of the rhombus.

a. 10 m2 c. 20 m2

b. 29 m2 d. 40 m2

____ 32. Find the area of the kite.

a. 72 cm2 c. 144 cm2

b. 396 cm2 d. 33 cm2

Name: ________________________ ID: A

9

Find the volume of the cylinder.

33.

____ 34. A kaleidoscope has been created by cutting a regular hexagonal hole with side length 3 cm through a cylinder. Find the volume of this kaleidoscope.

a. about 1203.27 cm3 c. about 496.41 cm3

b. about 285.97 cm3 d. about 179.03 cm3

Name: ________________________ ID: A

10

Find the volume of the pyramid.

____ 35.

a. about 415.78 cm3 c. about 831.56 cm3

b. about 241.67 cm3 d. about 1208.33 cm3

____ 36. Pyramid C and Pyramid D are similar. The volume of Pyramid C is 141 square centimeters. Find the volume of Pyramid D.

a. about 35.25 cm3 c. about 5.88 cm3

b. about 11.75 cm3 d. about 2.2 cm3

Name: ________________________ ID: A

11

____ 37. Find the volume of the composite solid.

a. 1050 cm3 c. 750 cm3

b. 675 cm3 d. 657 cm3

Find the surface area of the cone.

____ 38.

a. about 163.36 cm2 c. about 140.99 cm2

b. about 70.49 cm2 d. about 150.8 cm2

Name: ________________________ ID: A

12

Find the volume of the cone.

____ 39.

a. about 402.12 cm3 c. about 1608.5 cm3

b. about 343.04 cm3 d. about 351.86 cm3

____ 40. Cone A and Cone B are similar. The volume of Cone A is 230 square centimeters. Find the volume of Cone B.

a. about 25.56 cm3 c. about 17.04 cm3

b. about 76.67 cm3 d. about 8.52 cm3

Name: ________________________ ID: A

13

____ 41. Find the volume of the composite solid.

a. about 1696.46 m3 c. about 1093.27 m3

b. about 348 m3 d. about 565.49 m3

Find the surface area of the sphere.

____ 42.

a. about 283.53 cm2 c. about 3591.36 cm2

b. about 1134.11 cm2 d. about 4536.46 cm2

Name: ________________________ ID: A

14

____ 43. Find the radius of the sphere.

a. about 2.86 cm c. about 1.21 cmb. about 3.63 cm d. about 1.9 cm

____ 44. A box of golf balls contains 10 balls. Each golf ball has a diameter of 3.6 centimeters. What is the total volume of golf balls in 3 boxes?a. about 1465.74 cm3 c. about 1221.45 cm3

b. about 732.87 cm3 d. about 81.43 cm3

Find the volume of the composite solid.

____ 45.

a. about 424.12 ft3 c. about 367.57 ft3

b. about 311.02 ft3 d. about 480.66 ft3

Name: ________________________ ID: A

15

Tell whether the solid is a polyhedron.____ 46.

a. polyhedron; circleb. polyhedron; spherec. not a polyhedron

____ 47.

a. polyhedron; octagonal prism c. polyhedron; rectangular prismb. polyhedron; octagonal pyramid d. not a polyhedron

____ 48.

a. polyhedron; isosceles triangular prism c. polyhedron; isosceles triangular pyramidb. polyhedron; rectangular pyramid d. not a polyhedron

Name: ________________________ ID: A

16

Describe the shape formed by the intersection of the plane and the solid.____ 49.

a. The cross section is a rectangle. c. The cross section is a circle.b. The cross section is a square. d. The cross section is a rhombus.

____ 50.

a. The cross section is a square.b. The cross section is a rectangle.c. The cross section is a rhombus.

Name: ________________________ ID: A

17

____ 51.

a. The cross section is a trapezoid. c. The cross section is a square.b. The cross section is a parallelogram. d. The cross section is a rectangle.

____ 52. Which of the following are areas of sectors formed by ABC?

a. about 12.67 cm2 c. about 3.09 cm2

b. about 25.35 cm2 d. about 40.14 cm2

Match the description of the part of the circle below with its value.a. about 159.13 m2 e. about 25.07 mb. about 3.09 m f. about 58.16 m2

c. about 14.30 m g. about 9.71 m2d. about 116.33 m h. about 4.77 m

____ 53. Area of a sector with a radius of 11.1 meters and a central angle of 148°____ 54. Radius of a circle with an area of 30 square meters____ 55. Radius of a circle with a sector area of 25 square meters and a central angle of 14°____ 56. Diameter of a circle with an arc length of 67 meters and a central angle of 66°

Name: ________________________ ID: A

18

____ 57. Circumference of a circle with an area of 50 square metersMatch the description of the sphere below with its correct value.a. about 381.70 m3 e. about 8.42 mb. about 5.73 m f. about 43.98 mc. about 7.00 m g. about 24.81 md. about 4.04 m h. about 804.25 m2

____ 58. radius of a sphere with a circumference of 44 meters____ 59. surface area of a sphere with a radius of 8 meters____ 60. volume of a sphere with a diameter of 9 meters____ 61. diameter of a sphere with a surface area of 103 square meters____ 62. diameter of a sphere with a volume of 313 cubic meters____ 63. circumference of a sphere with a volume of 258 cubic meters____ 64. circumference of a sphere with a radius of 7 meters____ 65. radius of a sphere with a surface area of 205 square meters 66. Find the area of the hexagon inscribed in F.

ID: A

1

HONORS GEOMETRY - CHAPTER 10-11 FINAL EXAM PREPAnswer Section 1. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1

NAT: HSG-C.B.5 | HSG-CO.A.1 KEY: radian NOT: Example 5 2. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1

NAT: HSG-C.B.5 | HSG-CO.A.1 KEY: radian NOT: Example 5 3. ANS: 120

PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.1 NAT: HSG-C.A.2 KEY: circle | tangent of a circle NOT: Example 3

4. ANS: 45PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.1 NAT: HSG-C.A.2 KEY: circle | radius of a circle NOT: Example 4

5. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.1NAT: HSG-C.A.2 KEY: circle | tangent of a circle | application NOT: Example 5

6. ANS: a. minor arc; mVX 46b. major arc; mVTX 314c. semicircle; mVXT 180PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.2 NAT: HSG-C.A.2 KEY: circle | measures of arcs NOT: Example 1

7. ANS: a. mPR 130b. mMPR 180c. mMRT 230d. mMT 130PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.2 NAT: HSG-C.A.2 KEY: circle | measures of arcs NOT: Example 2

8. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.3NAT: HSG-C.A.2 KEY: circle | chord | application NOT: Example 2

9. ANS: a. mT 24b. mQR 92PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.4 NAT: HSG-C.A.2 KEY: inscribed angle NOT: Example 1

10. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: inscribed angle NOT: Example 2

ID: A

2

11. ANS: a.

b. 12 cmc. AC 4.3 cmd. BC 11.2 cme. about 24.1 cm2

PTS: 1 DIF: Level 3 REF: Geometry Sec. 10.4 NAT: HSG-C.A.2 | HSG-SRT.C.8 KEY: inscribed polygon | application | area of a triangle | cosine | sine NOT: Example 4-3

12. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

13. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | central angle NOT: Combined Concept

14. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

15. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

16. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

17. ANS: F PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 | HSG-C.A.3 KEY: circle | inscribed quadrilateralNOT: Combined Concept

18. ANS: 6PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.5 NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Example 2

19. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Example 2

20. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

21. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

22. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

ID: A

3

23. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

24. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

25. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.6NAT: HSG-C.A.2 KEY: circle | application | secant segment NOT: Example 2

26. ANS: A, C PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.6NAT: HSG-C.A.2 | HSG-MG.A.1 KEY: circle | segments of a chord | application | secant segmentNOT: Combined Concept

27. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.7NAT: HSG-GPE.A.1 KEY: circle | standard equation of a circleNOT: Example 2

28. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1NAT: HSG-GMD.A.1 | HSG-CO.A.1 KEY: circumference NOT: Example 1

29. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 KEY: area | circle NOT: Example 1

30. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-C.B.5 KEY: area | sector of a circleNOT: Example 4

31. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3NAT: HSG-GMD.A.3 KEY: area NOT: Example 1

32. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3NAT: HSG-GMD.A.3 KEY: area NOT: Example 1

33. ANS: about 18.85 cm3

PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.5 NAT: HSG-GMD.A.1 | HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1KEY: volume NOT: Example 2

34. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.5NAT: HSG-GMD.A.1 | HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 | HSG-MG.A.3KEY: application | volume NOT: Example 7

35. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | pyramidNOT: Example 1

36. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | similar solidsNOT: Example 4

37. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | composite solidNOT: Example 5

38. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: surface area | cone NOT: Example 1

ID: A

4

39. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | cone NOT: Example 2

40. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | similar solidsNOT: Example 3

41. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | composite solidNOT: Example 4

42. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphere | surface areaNOT: Example 1

43. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Example 2

44. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphere | application | volumeNOT: Example 3-2

45. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | composite solidNOT: Example 5

46. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

47. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

48. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

49. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

50. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

51. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

52. ANS: A, D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-C.B.5 KEY: area | sector of a circleNOT: Example 3

53. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | sector of a circleNOT: Combined Concept

54. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circleNOT: Combined Concept

55. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circle | sector of a circleNOT: Combined Concept

56. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: arc length | circleNOT: Combined Concept

ID: A

5

57. ANS: E PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circumference | circleNOT: Combined Concept

58. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Combined Concept

59. ANS: H PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

60. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

61. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

62. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

63. ANS: G PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

64. ANS: F PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Combined Concept

65. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

66. ANS: about 127.31 cm2

PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3 NAT: HSG-GMD.A.3 KEY: area | regular polygon NOT: Example 3

Name: ________________________ Class: ___________________ Date: __________ ID: B

1

HONORS GEOMETRY - CHAPTER 10-11 FINAL EXAM PREP____ 1. Convert 147° to radians.

a. 4930 rad c. 49

120 radb. 49

60 rad d. 49 rad

____ 2. Convert 31180 radians into degrees.

a. 0.09° c. 31°b. 0.17° d. 62°

3. In the diagram, GH 12 and GJ 20. If HJ is tangent to G, then HJ = ____.

4. In the diagram, point C is a point of tangency, DC 540, and DF 486. What is the radius of B?

____ 5. In the diagram, HJ is tangent to G at H , JK is tangent to G at K , HJ 172, and JK 6x 8. Find the value of x.

a. x = 27.33 c. x = 30b. x = 2.67 d. x = 24

Name: ________________________ ID: B

2

6. In the diagram, HK is a diameter and mKFN 50. Identify each arc as a major arc, minor arc, or semicircle. Then find the measure of the arc.

a. KNb. KHNc. KNH

7. Find the measure of each arc.a . FHb. CFHc. CHKd. CK

____ 8. In the diagram, MP is a diameter of Q and RN 4. Find KR.

a. KR = 12 c. KR = 7b. KR = 2 d. KR = 4

9. Find the indicated measure.

a. mTb. mQR

Name: ________________________ ID: B

3

____ 10. In the diagram, mN 85 and mNQ 108. Find mNP.

a. mNP = 72 c. mNP = 170b. mNP = 82 d. mNP = 167

11. ABC is a right triangle with mC 90. ABC is inscribed in P. PA 10 centimeters and mBC 71. a. Draw a diagram of this scenario.b. Find the diameter of P.c. Find AC.d. Find BC.e. Find the area of ABC.

Name: ________________________ ID: B

4

Match the measure below with one of the diagrams. Use each diagram only once.a. d.

b. e.

c. f.

____ 12. mC 26____ 13. mAB 82____ 14. mAB 90____ 15. mC 53____ 16. mAB 146____ 17. mAB 102

Name: ________________________ ID: B

5

Find the value of x. 18.

____ 19.

a. x = 49 c. x = 38b. x = 2.5 d. x = 78.5

Name: ________________________ ID: B

6

In each of the following diagrams, x 30. Order the diagrams by mAB from least to greatest.a. d.

b. e.

c.

____ 20. least mAB____ 21. second least mAB____ 22. middle mAB____ 23. second greatest mAB____ 24. greatest mAB

Name: ________________________ ID: B

7

____ 25. In the diagram, RP x 7, PQ x 11, RS x 9, and ST 8. Find the value of x.

a. x = 5.2 c. x = 0.5b. x = 3 d. x = 1

____ 26. Which of the following diagrams are not possible based on the given measurements? a. c.

b. d.

____ 27. The point (6, 8) is on a circle with center (5, 3). Write the standard equation of the circle. a. x 5 2 y 3

2 26 c. x 3 2 y 5 2 26

b. x 5 2 y 3 2 26 d. x 5 2 y 3

2 26____ 28. The circumference of a circle is 30 centimeters. Find the radius of this circle.

a. about 94.25 cm c. about 9.55 cmb. about 188.50 cm d. about 4.77 cm

____ 29. Find the diameter of a circle with an area of 28.5 square centimeters.a. about 9.07 cm c. about 4.54 cmb. about 6.02 cm d. about 3.01 cm

Name: ________________________ ID: B

8

____ 30. Find the area of Y .

a. about 94.65 m2 c. about 366.06 m2

b. about 4301.86 m2 d. about 297.34 m2

____ 31. Find the area of the rhombus.

a. 100 m2 c. 192 m2

b. 48 m2 d. 96 m2

____ 32. Find the area of the kite.

a. 77 cm2 c. 490 cm2

b. 154 cm2 d. 35 cm2

Name: ________________________ ID: B

9

Find the volume of the cylinder.

33.

____ 34. A kaleidoscope has been created by cutting a regular hexagonal hole with side length 5 cm through a cylinder. Find the volume of this kaleidoscope.

a. about 722.18 cm3 c. about 936.58 cm3

b. about 252.10 cm3 d. about 2418.64 cm3

Name: ________________________ ID: B

10

Find the volume of the pyramid.

____ 35.

a. about 1179.67 cm3 c. about 3428.33 cm3

b. about 2359.35 cm3 d. about 685.67 cm3

____ 36. Pyramid C and Pyramid D are similar. The volume of Pyramid C is 181 square centimeters. Find the volume of Pyramid D.

a. about 31.78 cm3 c. about 15.89 cm3

b. about 80.44 cm3 d. about 26.81 cm3

Name: ________________________ ID: B

11

____ 37. Find the volume of the composite solid.

a. 1372 cm3 c. 882 cm3

b. 1104 cm3 d. 980 cm3

Find the surface area of the cone.

____ 38.

a. about 70.49 cm2 c. about 150.8 cm2

b. about 163.36 cm2 d. about 140.99 cm2

Name: ________________________ ID: B

12

Find the volume of the cone.

____ 39.

a. about 183.26 cm3 c. about 148.17 cm3

b. about 188.5 cm3 d. about 45.81 cm3

____ 40. Cone A and Cone B are similar. The volume of Cone A is 115 square centimeters. Find the volume of Cone B.

a. about 9.58 cm3 c. about 4.79 cm3

b. about 1.8 cm3 d. about 28.75 cm3

Name: ________________________ ID: B

13

____ 41. Find the volume of the composite solid.

a. about 138.23 m3 c. about 28 m3

b. about 87.96 m3 d. about 46.08 m3

Find the surface area of the sphere.

____ 42.

a. about 530.93 cm2 c. about 2123.72 cm2

b. about 132.73 cm2 d. about 1150.35 cm2

Name: ________________________ ID: B

14

____ 43. Find the diameter of the sphere.

a. about 3.05 cm c. about 4.06 cmb. about 1.29 cm d. about 4.13 cm

____ 44. A box of golf balls contains 6 balls. Each golf ball has a diameter of 4.1 centimeters. What is the total volume of golf balls in 6 boxes?a. about 36.09 cm3 c. about 1299.13 cm3

b. about 1901.17 cm3 d. about 2598.26 cm3

Find the volume of the composite solid.

____ 45.

a. about 2968.81 ft3 c. about 3986.68 ft3

b. about 2459.87 ft3 d. about 5513.5 ft3

Name: ________________________ ID: B

15

Tell whether the solid is a polyhedron.____ 46.

a. polyhedron; circleb. polyhedron; spherec. not a polyhedron

____ 47.

a. polyhedron; octagonal prism c. polyhedron; rectangular prismb. polyhedron; octagonal pyramid d. not a polyhedron

____ 48.

a. polyhedron; isosceles triangular prism c. polyhedron; isosceles triangular pyramidb. polyhedron; rectangular pyramid d. not a polyhedron

Name: ________________________ ID: B

16

Describe the shape formed by the intersection of the plane and the solid.____ 49.

a. The cross section is a rectangle. c. The cross section is a circle.b. The cross section is a square. d. The cross section is a rhombus.

____ 50.

a. The cross section is a square.b. The cross section is a rectangle.c. The cross section is a rhombus.

Name: ________________________ ID: B

17

____ 51.

a. The cross section is a trapezoid. c. The cross section is a square.b. The cross section is a parallelogram. d. The cross section is a rectangle.

____ 52. Which of the following are areas of sectors formed by ABC?

a. about 45.35 cm2 c. about 68.94 cm2

b. about 22.67 cm2 d. about 4.20 cm2

Match the description of the part of the circle below with its value.a. about 1071.26 m2 e. about 27.00 mb. about 3.74 m f. about 150.40 m2

c. about 14.69 m g. about 11.76 m2d. about 300.80 m h. about 7.00 m

____ 53. Area of a sector with a radius of 28.8 meters and a central angle of 148°____ 54. Radius of a circle with an area of 44 square meters____ 55. Radius of a circle with a sector area of 32 square meters and a central angle of 17°____ 56. Diameter of a circle with an arc length of 63 meters and a central angle of 24°

Name: ________________________ ID: B

18

____ 57. Circumference of a circle with an area of 58 square metersMatch the description of the sphere below with its correct value.a. about 113.10 m3 e. about 10.11 mb. about 5.64 m f. about 56.55 mc. about 4.46 m g. about 28.65 md. about 4.32 m h. about 201.06 m2

____ 58. radius of a sphere with a circumference of 28 meters____ 59. surface area of a sphere with a radius of 4 meters____ 60. volume of a sphere with a diameter of 6 meters____ 61. diameter of a sphere with a surface area of 100 square meters____ 62. diameter of a sphere with a volume of 541 cubic meters____ 63. circumference of a sphere with a volume of 397 cubic meters____ 64. circumference of a sphere with a radius of 9 meters____ 65. radius of a sphere with a surface area of 235 square meters 66. Find the area of the hexagon inscribed in F.

ID: B

1

HONORS GEOMETRY - CHAPTER 10-11 FINAL EXAM PREPAnswer Section 1. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1

NAT: HSG-C.B.5 | HSG-CO.A.1 KEY: radian NOT: Example 5 2. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1

NAT: HSG-C.B.5 | HSG-CO.A.1 KEY: radian NOT: Example 5 3. ANS: 16

PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.1 NAT: HSG-C.A.2 KEY: circle | tangent of a circle NOT: Example 3

4. ANS: 57PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.1 NAT: HSG-C.A.2 KEY: circle | radius of a circle NOT: Example 4

5. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.1NAT: HSG-C.A.2 KEY: circle | tangent of a circle | application NOT: Example 5

6. ANS: a. minor arc; mKN 50b. major arc; mKHN 310c. semicircle; mKNH 180PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.2 NAT: HSG-C.A.2 KEY: circle | measures of arcs NOT: Example 1

7. ANS: a. mFH 121b. mCFH 180c. mCHK 239d. mCK 121PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.2 NAT: HSG-C.A.2 KEY: circle | measures of arcs NOT: Example 2

8. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.3NAT: HSG-C.A.2 KEY: circle | chord | application NOT: Example 2

9. ANS: a. mT 24b. mQR 96PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.4 NAT: HSG-C.A.2 KEY: inscribed angle NOT: Example 1

10. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: inscribed angle NOT: Example 2

ID: B

2

11. ANS: a.

b. 20 cmc. AC 16.3 cmd. BC 11.6 cme. about 94.6 cm2

PTS: 1 DIF: Level 3 REF: Geometry Sec. 10.4 NAT: HSG-C.A.2 | HSG-SRT.C.8 KEY: inscribed polygon | application | area of a triangle | cosine | sine NOT: Example 4-3

12. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

13. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | central angle NOT: Combined Concept

14. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

15. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

16. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 KEY: circle | inscribed angle NOT: Combined Concept

17. ANS: F PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.4NAT: HSG-C.A.2 | HSG-C.A.3 KEY: circle | inscribed quadrilateralNOT: Combined Concept

18. ANS: 11PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.5 NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Example 2

19. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Example 2

20. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

21. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

22. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

ID: B

3

23. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

24. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle | application | measures of arcs NOT: Combined Concept

25. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.6NAT: HSG-C.A.2 KEY: circle | application | secant segment NOT: Example 2

26. ANS: B, D PTS: 1 DIF: Level 2 REF: Geometry Sec. 10.6NAT: HSG-C.A.2 | HSG-MG.A.1 KEY: circle | segments of a chord | application | secant segmentNOT: Combined Concept

27. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 10.7NAT: HSG-GPE.A.1 KEY: circle | standard equation of a circleNOT: Example 2

28. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1NAT: HSG-GMD.A.1 | HSG-CO.A.1 KEY: circumference NOT: Example 1

29. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 KEY: area | circle NOT: Example 1

30. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-C.B.5 KEY: area | sector of a circleNOT: Example 4

31. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3NAT: HSG-GMD.A.3 KEY: area NOT: Example 1

32. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3NAT: HSG-GMD.A.3 KEY: area NOT: Example 1

33. ANS: about 28.27 cm3

PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.5 NAT: HSG-GMD.A.1 | HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1KEY: volume NOT: Example 2

34. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.5NAT: HSG-GMD.A.1 | HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 | HSG-MG.A.3KEY: application | volume NOT: Example 7

35. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | pyramidNOT: Example 1

36. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | similar solidsNOT: Example 4

37. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | composite solidNOT: Example 5

38. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: surface area | cone NOT: Example 1

ID: B

4

39. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | cone NOT: Example 2

40. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | similar solidsNOT: Example 3

41. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.7NAT: HSG-GMD.A.1 | HSG-GMD.A.3 KEY: volume | composite solidNOT: Example 4

42. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphere | surface areaNOT: Example 1

43. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Example 2

44. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphere | application | volumeNOT: Example 3-2

45. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | composite solidNOT: Example 5

46. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

47. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

48. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: polyhedron NOT: Example 1

49. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

50. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

51. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.4NAT: HSG-GMD.B.4 KEY: cross section NOT: Example 2

52. ANS: B, C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-C.B.5 KEY: area | sector of a circleNOT: Example 3

53. ANS: A PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | sector of a circleNOT: Combined Concept

54. ANS: B PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circleNOT: Combined Concept

55. ANS: C PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circle | sector of a circleNOT: Combined Concept

56. ANS: D PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.1NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: arc length | circleNOT: Combined Concept

ID: B

5

57. ANS: E PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.2NAT: HSG-GMD.A.1 | HSG-MG.A.2 | HSG-C.B.5 KEY: area | circumference | circleNOT: Combined Concept

58. ANS: C PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Combined Concept

59. ANS: H PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

60. ANS: A PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

61. ANS: B PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

62. ANS: E PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

63. ANS: G PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: volume | sphereNOT: Combined Concept

64. ANS: F PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: sphereNOT: Combined Concept

65. ANS: D PTS: 1 DIF: Level 2 REF: Geometry Sec. 11.8NAT: HSG-GMD.A.2 | HSG-GMD.A.3 | HSG-MG.A.1 KEY: surface area | sphereNOT: Combined Concept

66. ANS: about 64.95 cm2

PTS: 1 DIF: Level 1 REF: Geometry Sec. 11.3 NAT: HSG-GMD.A.3 KEY: area | regular polygon NOT: Example 3