CHAPTERS Cumulative Test 1–6 For use after Chapters 1–6 · PDF file ·...

12
Name ——————————————————————— Date ———————————— Copyright © Holt McDougal. All rights reserved. Geometry Chapter 6 Assessment Book 126 Answers 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. Cumulative Test For use after Chapters 1–6 In Exercises 1–5, use the diagram at the right. 1. Name the intersection of @##$ ED and @##$ CD . A D C B E 2. Name the intersection of plane ABD and plane AEB. 3. Are points B, C, and D collinear? 4. Are points E, A, and D coplanar? 5. Name two planes that intersect at line @##$ EC . In Exercises 6 and 7, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then find the coordinates of the midpoint of the segment. 6. A(23, 4) and B(1, 28) 7. F(26, 27) and G(5, 23) Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. 8. 9. Use the information about the figure to find the indicated measure. 10. Perimeter 5 46 m 11. Area 5 175 ft 2 12. Perimeter 5 39 in. Find the length l. Find the height h. Find the side length s. 7 m l h 28 ft s Write the next three numbers in the pattern. 13. 3072, 768, 192, 48, . . . 14. 6, 4, 0, 26, . . . 15. Write the contrapositive of the conditional statement “Senators are politicians.” Is the statement true or false? Use the property to complete the statement. 16. Symmetric Property of Equality: If mG 5 mH, then ? . 17. Transitive Property of Congruence: If C > D, and ? > ? , then C > E. CHAPTERS 1–6

Transcript of CHAPTERS Cumulative Test 1–6 For use after Chapters 1–6 · PDF file ·...

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GeometryChapter 6 Assessment Book126

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

Cumulative TestFor use after Chapters 1–6

In Exercises 1–5, use the diagram at the right.

1. Name the intersection of @##$ ED and @##$ CD .

A D

CB

E

2. Name the intersection of plane ABDand plane AEB.

3. Are points B, C, and D collinear?

4. Are points E, A, and D coplanar?

5. Name two planes that intersect at line @##$ EC .

In Exercises 6 and 7, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then fi nd the coordinates of the midpoint of the segment.

6. A(23, 4) and B(1, 28) 7. F(26, 27) and G(5, 23)

Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular.

8. 9.

Use the information about the fi gure to fi nd the indicated measure.

10. Perimeter 5 46 m 11. Area 5 175 ft2 12. Perimeter 5 39 in. Find the length l. Find the height h. Find the side length s.

7 m

l h

28 ft

s

Write the next three numbers in the pattern.

13. 3072, 768, 192, 48, . . . 14. 6, 4, 0, 26, . . .

15. Write the contrapositive of the conditional statement “Senators are politicians.” Is the statement true or false?

Use the property to complete the statement.

16. Symmetric Property of Equality: If m∠ G 5 m∠ H, then ? .

17. Transitive Property of Congruence: If ∠ C > ∠ D, and∠ ? > ∠ ? , then ∠ C > ∠ E.

CHAPTERS

1–6

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GeometryChapter 6 Assessment Book 127

Answers

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.

35.

Find the values of x and y.

18.

428

y 8 x 8358

19. (8y 1 7)8

(7x 1 10)8

(10y 2 25)8

9x 8

Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

20. ∠ 7 and ∠ 10 21. ∠ 2 and ∠ 15

1 25 6

87

10911 12

13 141615

4322. ∠ 4 and ∠ 14 23. ∠ 5 and ∠ 9

24. ∠ 11 and ∠ 6 25. ∠ 7 and ∠ 10

Is there enough information to prove p iq? If so, state the postulate or theorem you would use.

26.

r

qp 27. qp

s

r

Find the slope of the line that passes through the points.

28. (24, 22), (2, 6) 29. (23, 7), (1, 25) 30. (8, 1), (25, 0)

Write an equation of the line with the given slope m and y-intercept b.

31. m 5 22, b 5 3 32. m 5 4, b 5 21 33. m 5 5 }

6 , b 5 2

Graph the equation.

34. 6x 1 2y 5 24 35. −2x 1 3y 5 9

x

y

1

1

x

y

1

1

Cumulative Test continuedFor use after Chapters 1–6

CHAPTERS

1–6

See left.

See left.

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GeometryChapter 6 Assessment Book128

Answers

36.

37.

38.

39.

40.

41.

42.

43.

44.

45.

46.

47.

48.

49.

50.

51.

52.

Find the taxicab distance between the points.

36. (22, 9), (6, 3) 37. (21, 24), (8, 212)

Find m∠ 1.

38.

1

39.

1

268

Find the measure of the

1

5

6

2

34

238

528

numbered angle.

40. ∠ 1 41. ∠ 2

42. ∠ 3 43. ∠ 4

44. ∠ 5 45. ∠ 6

Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem you would use.

46. A B

CD

47. G

H

J

F

48. P

Q

R

S

49. T

US

V

Find the values of x and y.

50.

1148

x 8

y 8 51. 688

(5x 1 3)8

4y 8

52.

(7x 1 12)8

Cumulative Test continuedFor use after Chapters 1–6

CHAPTERS

1–6

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GeometryChapter 6 Assessment Book 129

Answers

53.

54.

55.

56.

57.

58.

59.

60.

61.

62.

63.

64.

65.

66.

Find the value of x.

53.

11x 2 16 7x 2 10

Q

P S

T

U

54.

(3x 1 23)8

(11x 1 7)8

Is it possible to construct a triangle with the given side lengths?

55. 11, 17, 29 56. 30, 32, 34 57. 15, 112, 113

Solve the proportion.

58. x }

16 5

24 } 12 59.

3 }

11 5

27 } x 60.

20 }

6x 2 1 5

8 } 14

In the diagram, PQRS , WXYZ.

61. Find the scale factor

P

Q

S

R

Z

W X

Y

x

y 8 1188

z6

10

12

9

of PQRS to WXYZ.

62. Find the values ofx, y, and z.

Determine whether the two triangles are similar. If they are similar, write a similarity statement.

63.

D

EF

BC

A

1218

1218

13.5

12

18

9

64. P

R

Q U

S

T868

868

578 378

10

28

Using the map shown, fi nd the given distance.

65. along Lewis Avenue from

Lew

is A

ve.

80th St.

81st

St.

82n

d S

t.385

yd

100 yd120 yd

80th Street to 81st Street

66. along Lewis Avenue from81st Street to 82nd Street

Cumulative Test continuedFor use after Chapters 1–6

CHAPTERS

1–6

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GeometryChapter 12 Assessment Book250

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

Cumulative TestFor use after Chapters 7–12

Find the unknown side length of the right triangle.

1.

x

99

20 2.

x

90

106 3. x 36

85

Find the value of each variable. Write your answers in simplest radical form.

4.

x

y

45810

5. x

y60825

6.

x

y

30818 3

7. You are measuring the height of a Ferris wheel at an amusement park. You are standing 125 feet from its base. You measure the angle of elevation from a point on the ground to the top of the Ferris wheel to be 518. Estimate the height of the Ferris wheel. Round your answer to the nearest foot.

Solve the right triangle. Round decimal answers to the nearest tenth.

8.

A C

B

558

12

9.

H G

F

678

25

10. R P20

17

Find the indicated measure.

11. m∠ PSQ 12. XV

P

RS

T

10

498

Y X

V

Z

W15

13. What are the measures of an interior angle and an exterior angle of a regular 30-gon?

CHAPTERS

7–12

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GeometryChapter 12 Assessment Book 251

Answers

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

See left.

Find the value of x.

14.x8

788

15.

x

17

26

16. x8

998 538

17. ABCD has vertices A(25, 4), B(27, 1), C(25, 21) and D(23, 2), and EFGH has vertices E(3, 6), F(21, 0), G(3, 24), and H(7, 2). Tell whether the quadrilaterals are congruent, similar, or neither.

The vertices of n XYZ are X(21, 4), Y(3, 4), and Z(2, 1). Translate n XYZ using the given vector. Graph its image.

18. ⟨22, 0⟩ 19. ⟨1, 23⟩

Add, subtract, or multiply.

20. F 24 7 22 12G 1 F 3 21

25 210G 21. f8 26 4g 2 f27 2 23g

22. f9 5gF 24 6G 23. F 21 6

5 1GF 24 2 22 0G

Find the image matrix that represents the polygon after a refl ection in the given line.

24. x-axis 25. y 5 2x

Cumulative Test continuedFor use after Chapters 7–12

CHAPTERS

7–12

See left.

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GeometryChapter 12 Assessment Book252

Answers

26.

27.

28.

29.

30.

31.

32.

33.

34.

35.

36.

37.

38.

39.

Cumulative Test continuedFor use after Chapters 7–12

The vertices of n STU are S(1, 22), T(5, 22), and U(1, 24). Find the coordinates of the image of n STU after a composition of the transformations in the order they are listed.

26. Translation: (x, y) → (x 2 1, y 1 4)Refl ection: in the y-axis

27. Translation: (x, y) → (x 2 3, y 2 1)Rotation: 908 about the origin

Decide whether the fi gure has line symmetry and/or rotational symmetry. Identify the number of lines of symmetry and/or the rotations that map the fi gure onto itself.

28. 29. 30.

Find the image matrix that represents a dilation of the polygon centered at the origin with the given scale factor.

A B C A B C

31. F 1 3 0 6 2 4G; k 5 2 32. F 28 24 28

4 4 0G; k 5 3 } 4

Find the value of each variable.

33. A

x8

928

BC

34. G

x 8

5y8888

1258

J

F

H

35.

x 8

648

488

J

M L

K

36.

(5x 2 1)8 (11x 1 9)8388

S

T

WV

U

Write the standard equation of the circle with the given center and radius.

37. Center (0, 23), radius 5 38. Center (22, 6), radius 1

39. Give an equation of a line that does not intersect the circle described by the equation (x 2 1)2 1 (y 1 2)2 5 64.

CHAPTERS

7–12

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GeometryChapter 12 Assessment Book 253

Answers

40.

41.

42.

43.

44.

45.

46.

47.

48.

49.

50.

Find the area of the fi gure.

40.

19

28

24

41.

50

21

Find the indicated measure.

42. Circumference of (P 43. m C ST

808

P

R

11.5 ft

1158

S

T

P8 m

Find the surface area and volume of the fi gure. Round your answers to two decimal places, if necessary.

44. 12 cm

15 cm

45. 39 yd

89 yd

46. 11.6 m 47.32 in.

48 in.

48. Find the volume of the silo shown at the right. 20 ft

68 ft

Round your answer to two decimal places.

49. Two rectangular prisms have a scale factor of 3 : 4. The smaller rectangular prism has a surface area of 12,582 square meters. Find the surface area of the larger rectangular prism.

50. Two right cones have a scale factor of 1 : 5. The larger cone has a volume of 1875π cubic feet. Find the volume of the smaller cone.

Cumulative Test continuedFor use after Chapters 7–12

CHAPTERS

7–12

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A11Geometry

Assessment Book

21. 22.

x

y

3

1

A9(22, 21)

D9(22, 1)

( )12 B9 21, 2

( )12C9 2 , 1

x

y

1

4A9(0, 0) D9(9, 0)

B9(0, 4.5) C9(4.5, 4.5)

23. $369

Standardized Test A

1. B 2. A 3. C 4. D 5. B 6. C 7. A 8. D

9. B 10. C 11. B 12. C 13. B 14. C

15. C 16. 37.5 17. 20 inches; 1 : 15; 1 : 20

18. a. The 16 3 20 and the 20 3 30 both have a ratio of 1 : 40. b. The 16 3 20 is an enlargement by a scale factor of 2 of the 8 3 10. The 20 3 30 is an enlargement by a scale factor of 5 of the 4 3 6. c. 2 in. 3 3 in. d. Use a scale factor of

1 } 5

for a reduction of the 20 3 30, or use a scale fac-tor of 2 for an enlargement of the wallet size.

Standardized Test B

1. D 2. B 3. A 4. C 5. A 6. D 7. D

8. B 9. C 10. C 11. B 12. B 13. D

14. A 15. D 16. 195 17. length is 1 : 1, width is 1 : 16, area is 1 : 16; After 5 folds: length is 1 : 1, width is 1 : 32, area is 1 : 32; After 6 folds; length is 1 : 1, width is 1 : 64, area is 1 : 64

18. a. A, B, C, E b. The 16 3 20 is an enlargement dilation of the 8 3 10 by a scale factor of 2 : 1. The 10 3 14 is an enlargement dilation of the 5 3 7 by a scale factor of 2 : 1. The 4 3 6 is an enlargement dilation of the 2 3 3 by a scale factor of 2 : 1. The 12 3 16 is an enlargement dilation of the 1.5 3 2 by a scale factor of 8 : 1 c. C and E could print on a 10 3 14. G, I, and J could print on an 6 3 8.

Standardized Test C

1. D 2. B 3. D 4. A 5. D 6. B 7. D 8. A

9. C 10. D 11. B 12. D 13. C 14. C

15. C 16. 15.2 17. 9 ft by 33 ft; 297 ft2

18. a. The 5 3 7 has a ratio of 3 : 35.; The 16 3 20 and 30 3 40 both have a ratio of 1 : 40. b. The

4 3 6 is a reduction by a scale factor of 1 }

6 of the

24 3 36. The 8 3 10 is a reduction by a scale

factor of 1 }

2 of the 16 3 20. c. (10, 14) d. 1 }

5 ;

(3, 4.4)

SAT/ACT Chapter Test

1. B 2. C 3. D 4. A 5. E 6. D 7. D 8. C

9. B 10. B 11. A 12. 40 13. 5 ft

Performance Assessment

1. Complete answers should include:

C(6, 2)x

y

2

12

N(18, 6)L(6, 6)

A(2, 2)

F(3, 1)

E(2, 3)

B(4, 6)

D(1, 1)

M(12, 18)

AB

} DE 5 BC

} EF 5 AC

} DF 5 2, so n ABC , nDEF;

AB

} LM 5 BC

} MN 5 AC

} LN 5 1 }

3 , so n ABC , nLMN;

DE

} LM 5 EF

} MN 5 DF

} LN 5 1 }

6 , so nDEF , nLMN.

2. a. 12 ft by 8 ft b. Because ∠A and ∠C are right angles, ∠A > ∠C. By the Refl exive Property, ∠E > ∠E. So n ABE and nCDE are similar by the AA Similarity Postulate. c. 1.5

d. LF

} FB 5 LM

} ME e. Show that LJ

} LN = LH

} LI . Then

use the Refl exive Property and the SAS Similarity Theorem to show that the triangles are similar.

Chapters 1–6

Cumulative Test

1. point D 2. @##$ AB 3. no 4. yes 5. plane ECD and plane ECB 6. 12.6; (21, 22)

7. 11.7; 1 2 1 } 2 , 25 2 8. decagon, equilateral

9. quadrilateral, equilateral 10. 16 m

11. 12.5 ft 12. 9.75 in. 13. 12, 3, 0.75

14. 214, 224, 236 15. If you are not a politician, then you are not a senator.; true

16. m∠ H 5 m∠ G 17. ∠ D > ∠ E

18. x 5 558, y 5 488 19. x 5 5, y 5 16

20. alternate interior 21. alternate exterior

22. consecutive interior 23. corresponding

24. alternate exterior 25. alternate interior

26. yes; Alternate Interior Angles Theorem

27. yes; Corresponding Angles Converse

28. 4 }

3 29. 23 30.

1 }

13 31. y 5 22x 1 3

Chapter 6, continuedA

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A12GeometryAssessment Book

32. y 5 4x 2 1 33. y 5 5 } 6 1 2

34.

x

y

1

1

35.

x

y

1

1

36. 908 37. 1548 38. 318 39. 388 40. 1428

41. 388 42. 1428 43. 158 44. 528

45. yes; the SAS Congruence Postulate

46. yes; the SSS Congruence Postulate

47. yes; the AAS Congruence Theorem

48. not enough 49. x 5 33, y 5 33

50. x 5 13, y 5 11 51. x 5 48

} 7 52. x 5 13

} 2

53. x 5 2 54. no 55. yes 56. yes 57. x 5 32

58. x 5 99 59. x 5 6 60. 2 }

3

61. x 5 8, y 5 1188, z 5 15

62. yes; n ABC , n DFE

63. yes; n PQR , n UTS 64. 210 yd

65. 175 yd

Chapter 7

Quiz 1

1. 20 2. 5 Ï}

3 3. 4 Ï}

2 4. acute 5. right 6. obtuse 7. right 8. acuteQuiz 2

1. 12 2. 16 3. 20 4. x 5 7 Ï}

2

5. x 5 9, y 5 18 6. x 5 6 Ï}

2

Quiz 3

1. 17.3 2. 9.2 3. 14.9 4. 8.1 5. 18.8

6. m∠ A ø 34.78, m∠ B ø 55.38, AB ø 15.8

7. m∠ D ø 58.08, m∠ F ø 32.08, EF ø 14.4

8. m∠G 5 578, GH ø 7.1, GJ ø 13.1

Chapter Test A

1. x 5 53 2. x 5 48 3. x 5 90 4. 168 ft2

5. 480 m2 6. 768 cm2 7. yes 8. no 9. yes

10. SR 11. GE 12. x 5 10 Ï}

2 13. x 5 13

14. x 5 7 Ï}

3 , y 5 14 15. x 5 8, y 5 16

16. x 5 6 Ï}

3 , y 5 6 17. x 5 Ï}

5 , y 5 Ï}

5

18. x ø 5.1 19. x ø 15.9 20. x ø 11.3

21. x ø 4.8 22. x ø 17.1 23. x ø 38.3

24. 558 25. 52.68 26. 66.18 27. 13.9 28. 5.8

29. a ø 6.9, c ø 5.8, m∠C 5 408

30. c 5 9.7, m∠A ø 35.78, m∠C ø 54.38

31. 55 ft

Chapter Test B

1. 25 2. Ï}

55 3. 6 Ï}

5 4. 2 Ï}

29 5. obtuse

6. right 7. acute 8. acute 9. Ï}

15 10. 1

11. 12 12. 2 13. x 5 6 Ï}

3 , y 5 3

14. x 5 19, y 5 7 Ï}

2 15. x 5 2 Ï}

6 , y 5 3 Ï}

2

16. x 5 7, y 5 2 17. x < 6.5 18. x < 4.2

19. x ø 5.1 20. x < 28.3 21. x < 14.0

22. x ø 9.3 23. 19.8 24. 49.1

25. AC 5 10, m∠ A < 53.18, m∠ C < 36.98

26. EG < 16.5, EF < 7.9, m∠ G 5 28.68

27. 20 ft

Chapter Test C

1. x 5 2 Ï}

89 2. x 5 3 Ï}

51 3. x 5 12 Ï}

7

4. yes; right 5. no 6. yes; acute 7. yes; obtuse

8. yes; altitude 5 3.7 9. yes; altitude 5 5

10. x 5 6 Ï}

10 11. x 5 6 Ï}

2

12. x 5 Ï}

33 , y 5 2 Ï}

11 13. x 5 Ï}

5 , y 5 2 Ï}

5

14. x 5 2 Ï}

21 , y 5 2 Ï}

7 15. x 5 Ï}

10 , y 5 Ï}

10

16. x ø 14.7 17. x ø 1.8 18. x ø 28.9

19. x ø 9.8 20. x 5 81 21. x ø 37.4

22. 52.28 23. 49.18 24. 648

25. 5.2 26. 29.2

27. a ø 2.7, c ø 1.7, m∠C ø 32.28

28. c ø 8.8, m∠A 5 578, m∠C 5 338 29. 17.48

Standardized Test A

1. B 2. C 3. B 4. A 5. C 6. B 7. B 8. C

9. D 10. C 11. B 12. B 13. A 14. D

15. C 16. 14.3 17. 40 ft; 53.13°

18. a. 600 ft2 b. 1500 ft2 c. 443.16 ft2 d. 845.3 ft2

Standardized Test B

1. B 2. A 3. D 4. D 5. C 6. A 7. C

8. B 9. D 10. B 11. A 12. D 13. A

14. D 15. B 16. 43.5 17. 25 ft; 28.698

18. a. 11,250 ft2 b. 13,500 ft2 c. 15,668 ft2 d. 7548.86 ft2

Chapter 6, continuedA

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A20GeometryAssessment Book

17. 127.59 in.3 18. 179.59 km3 19. 1018.45 m3

20. S 5 628.32 m2, V 5 1178.1 m3

21. S 5 486.45 cm2, V 5 618.67 cm3

22. 238.60 m3 23. 327.6 ft3 24. 600π yd2

25. 1024π m3

Chapter Test C

1. polyhedron; 8 faces, 12 vertices, 18 edges

2. polyhedron; 7 faces, 10 vertices, 15 edges

3. not a polyhedron 4. hexagonal prism

5. cone 6. 1166.32 ft2; 812.89 ft2

7. 80.78 m2; 57.02 m2

8. 500.72 yd2; 365.79 yd2 9. 17,671.46 mm2

10. 104.4 cm3 11. 167.23 m3 12. 5280 mm3

13. 696.91 in.3 14. 1206.37 cm3

15. 102.95 in.3 16. similar, 2 }

3 17. similar,

2 } 5

18. a. 477 in.2 b. 161 in.3

Standardized Test A

1. A 2. B 3. B 4. D 5. C 6. A 7. C

8. B 9. C 10. A 11. B 12. B 13. C

14. D 15. A 16. B 17. D 18. 768

19. a. 33,510.32 in.3 b. 4188.79 in.3; No, the volume is one-eighth the larger volume because

the ratio of the radii is 1 }

2 , making the ratio of the

volumes equal to 1 }

23 .

20. a. 7125.13 in.2 b. 45,804.42 in.3 c. 153 min d. 198 gal

Standardized Test B

1. C 2. A 3. D 4. B 5. A 6. C 7. B

8. B 9. A 10. D 11. B 12. B 13. A

14. A 15. D 16. C 17. D 18. 588 ft3

19. a. 4188.79 in.2 b. No; 523.60 in.3

20. a. 527.52 ft2 b. 904.78 ft3 c. 226.08 min

d. water: 646.27 ft3; syrup; 258.51 ft3

Standardized Test C

1. C 2. B 3. C 4. D 5. C 6. B 7. B

8. A 9. B 10. C 11. A 12. D 13. B

14. D 15. C 16. D 17. D 18. 620

19. a. 10,305.99 in.3 b. 161.03 in.3; No, the

volume is 1 }

64 the larger volume because the ratio

of the diameters is 1 }

4 , making the ratio of the

volumes equal to 1 }

43 .

20. a. 68.04 ft2 b. 38.61 ft3 c. 15 min d. 1092.6 L

SAT/ACT Chapter Test

1. A 2. D 3. B 4. C 5. C 6. D 7. C 8. B

9. B 10. C 11. E 12. 197 13. 10.8

Performance Assessment

1. Find the volume of a right prism or right cylinder by multiplying the area of the base by the height. Find the volume of a regular pyramid or right cone by fi nding one third of the product of the area of the base and the height. Find the area of a sphere by fi nding four thirds of the product of pi and the cube of the radius.

2. a. 15 ft3; 46 ft2 b. 13.5 ft2 c. about 1718.44 in.3 d. about 147.22 in.3; 170 in.2 e. Subtract the volume of the pyramid that is cut off from the main pyramid.

Chapters 7–12

Cumulative Test

1. x 5 101 2. x 5 56 3. x 5 77 4. x 5 10,y 5 10 Ï

}

2 5. x 5 25 Ï}

3 , y 5 50 6. x 5 27,y 5 9 Ï

}

3 7. 154 ft 8. m∠B 5 358, AC ø 6.9,BC < 9.8 9. m∠G 5 238, FG < 27.2, FH < 10.6 10. m∠P < 40.48, m∠Q < 49.68, PQ < 26.2 11. 498 12. 30 units 13. 1688, 128

14. x 5 102 15. x 5 21.5 16. x 5 104

17. similar

18.

x

y

1

1

X9 Y9

Z9

19.

x

y

1

1

X9 Y9

Z9

20. F 21 6 27 2G 21. f15 28 7g 22. [26]

A9 B9 C9

23. F 28 22 222 10G 24. F 22 1 3

21 24 1G F9 G9 H9 J9

Chapter 12, continuedA

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A21Geometry

Assessment Book

25. F 24 23 21 22 4 0 3 5G

26. S0(0, 2), T 0(24, 2), U 0(0, 0)

27. S 0(3, 22), T 0(3, 2), U 0(5, 22)

28. line symmetry; one line of symmetry

29. line symmetry; one line of symmetry

30. line symmetry, rotational symmetry; two lines of symmetry, 1808 about the center

A9 B9 C9 A9 B9 C9

31. F 2 6 0 12 4 8G 32. F 26 23 26

3 3 0G33. x 5 46 34. x 5 92, y 5 11 35. x 5 160

36. x 5 11 37. x2 1 (y 1 3)2 5 25

38. (x 1 2)2 1 (y 2 6)2 5 1

39. Sample answer: y 5 8 40. 532 square units

41. 1050 square units 42. 51.75 ft 43. 16.1 m

44. S 5 791.68 cm2, V 5 1696.46 cm3

45. S 5 15,682.83 yd2, V 5 127,423 yd3

46. S 5 422.73 m2, V 5 817.28 m3

47. S 5 6144 in.2, V 5 24,576 in.3

48. 23,457.23 ft3 49. 22,368 m2 50. 15π ft3

Chapters 1–12

End-of-Course Test

1. 14.4 units, (1, 22) 2. 538 3. 48 4. 818

5. 388 6. 1678 7. 159.68

8. Sample answer: 9. Sample answer:

10. C 5 40.84 cm, A 5 132.73 cm2 11. If you are tall, then you are a basketball player.; False

12. If today is not April 24, then tomorrow is not April 25.; True 13. Refl exive Property of Equality 14. Multiplication Property of Equality

15. x 5 51, y 5 68 16. x 5 26, y 5 8

17. neither 18. parallel 19. y 5 22x 1 7

20. no 21. yes; AAS Congruence Theorem

22. x 5 5 23. x 5 10 24. x 5 3 25. < 26. 5

27. x 5 2 1 } 21 28. x 5 63 Ï

}

10 29. x 5 612

30.

x

y

1

1

A9

B 9

C 9

A

B

C

31.

x

y

4

−1

A

B

C

A9B 9

C 9

32. 48, leg 33. 80, leg 34. 125, hypotenuse

35. 146.45 ft 36. m∠B 5 428, AC ø 13.4, BC ø 14.9 37. m∠H 5 198, FG ø 3.1, FH ø 9.5

38. m∠P ø 39.88, m∠Q ø 50.28, PQ 5 15.6

39. x 5 139 40. x ø 69.5 41. x ø 98.5

42. yes 43. yes 44. no

45. J 0(0, 22), K0(2, 23), L0(3, 0), M 0(21, 1)

46. J 0(5, 3), K0(4, 5), L0(7, 6), M 0(8, 2)

A9 B9 C9 P9 Q9 R9 S9

47. F 26 3 12 29 15 23G 48. F 24 0 2 2

2 6 0 24 G49. x 5 47, y 5 7 50. x 5 10

51. (x 2 7)2 1 ( y 1 2)2 5 48

52. 121.5 square units 53. 195.5 square units

54. 374.04 square units 55. 123.43 cm

56. 94.25 yd2 57. S 5 812.64 ft2, V 5 1663.2 ft3

58. S 5 3200 m2, V 5 10,240 m3 59. 8.64π in.3

Chapters 7–12, continuedA

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