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<strong>Answers</strong> to Exercises 19. 20. B 5.6 cm A A 130 3.5 cm C B 6.5 cm C 21. No, the triangles don’t look the same. 40 60 40 8 cm 60 8 cm 38 ANSWERS TO EXERCISES 22a. A web of lines fills most of the plane, except a U-shaped region and a V-shaped region. (The U-shaped region is actually bounded by a section of a parabola and straight lines. If AB were extended to AB , the U would be a complete parabola.) B C D Parabola A 22b. a line segment parallel to AB and half the length (The segment is actually the midsegment of ABD.)
LESSON 3.5 1. 2. 3. Construct a segment with length z. Bisect the z segment to get length . 2 Bisect again to get a z . Construct a square with segment with length 4 z each side of length . 4 4. 5. sample construction: T 6. Draw a line and construct ML perpendicular to it. Swing an arc from point M to point G so that MG RA. From point G, swing an arc to construct RG. Finish the parallelogram by swinging an arc of length RA from R and swinging an arc of length GR from M. There is only one possible parallelogram. G A 1 z 4 P A 1 z 2 L M A 7. 1 S, 2 U x x A R R z x x x 8. 1 S and 2 U by of the Alternate Interior Angles Conjecture 9. The ratios appear to be the same. 10. 1 3 and 2 4 by the Corresponding Angles Conjecture 11. A parallelogram 12. Using the Converse of the Parallel Lines Conjecture, the angle bisectors are parallel: DAB ABC, so AD BC . 13. Construct the perpendicular bisector of each of the three segments connecting the fire stations. Eliminate the rays beyond where the bisectors intersect. A point within any region will be closest to the fire station in that region. 14. Z O 15. B M 16. D R D B A C T R E W K C RC = KE = 8 cm I 60 R O 17. a 72°, b 108°, c 108°, d 108°, e 72°, f 108°, g 108°, h 72°, j 90°, k 18°, l 90°, m 54°, n 62°, p 62°, q 59°, r 118°; Explanations will vary. Sample explanation: c is 108° because of the Corresponding Angles Conjecture. Using the Vertical Angles Conjecture, 2m 108°, so m 54°. p n because of the Corresponding Angles Conjecture. Using the Linear Pair Conjecture, n 62°, so p 62°. Using the Linear Pair Conjecture, r p 180°. Because p 62°, r 118°. ANSWERS TO EXERCISES 39 <strong>Answers</strong> to Exercises
Page 1 and 2: Answers to Exercises 0 CHAPTER 0
Page 3 and 4: LESSON 0.3 1. Design with reflectio
Page 5 and 6: LESSON 0.5 1. possible answers: Sco
Page 7 and 8: CHAPTER 0 REVIEW 1. possible answer
Page 9 and 10: USING YOUR ALGEBRA SKILLS 1 1. (3,
Page 11 and 12: 34. B 35. MY; CK; mI 36. SEU; EUO;
Page 13 and 14: 20. false 21. true 22. false; Thoug
Page 15 and 16: LESSON 1.5 1. D 2. A 3. C 4. B 5. C
Page 17 and 18: LESSON 1.7 1. Answers will vary. Sa
Page 19 and 20: LESSON 1.8 1. 2. 3. 4. 5. 6. 7. 8.
Page 21 and 22: CHAPTER 1 REVIEW 1. true 2. False;
Page 23 and 24: Answers to Exercises CHAPTER 2 •
Page 25 and 26: 8. 8n is steeper; the coefficient o
Page 27 and 28: LESSON 2.4 1. inductive; deductive
Page 29 and 30: LESSON 2.6 1. 63° 2. 90° 3. no 4.
Page 31 and 32: CHAPTER 2 REVIEW 1. poor inductive
Page 33 and 34: 1. 2. 3. 4. 5. A B Q D C D 1 CD 2 E
Page 35 and 36: 1. LESSON 3.3 The answer depends on
Page 37: 1. D 2. F 3. A 4. C 5. E 6. 7. 8. 9
Page 41 and 42: LESSON 3.6 1. Sample description: C
Page 43 and 44: 1. incenter LESSON 3.7 Because the
Page 45 and 46: LESSON 3.8 1. The center of gravity
Page 47 and 48: 42. true 43. False; any non-acute t
Page 49 and 50: LESSON 4.2 1. 79° 2. 54° 3. 107.5
Page 51 and 52: 1. yes 2. no 3. no 4 5 9 5 6 12 LES
Page 53 and 54: LESSON 4.5 1. If two angles and the
Page 55 and 56: 1. See flowchart below. 2. See flow
Page 57 and 58: 1. 6 2. 90°; 18° 3. 45° 4. See f
Page 59 and 60: CHAPTER 4 REVIEW 1. Their rigidity
Page 61 and 62: Answers to Exercises 5 CHAPTER 5
Page 63 and 64: LESSON 5.3 1. 64 cm 2. 21°; 146°
Page 65 and 66: 1. 34 cm; 27 cm 2. 132°; 48° 3. 1
Page 67 and 68: 1. 2. 3. (0, 4) y y y (0, 6) USING
Page 69 and 70: 22. The platform stays parallel to
Page 71 and 72: 7. 2 RE AB 3 BR EA 4 AR EB
Page 73 and 74: 20. Speed: 901.4 km/h. Direction:
Page 75 and 76: LESSON 6.2 1. 165°, definition of
Page 77 and 78: 1 OR CD ? 5 OC OD ? All radii o
Page 79 and 80: LESSON 6.5 1. d 5 cm 2. C 10 cm 3
Page 81 and 82: 1. 1 2 ,3 USING YOUR ALGEBRA SKILL
Page 83 and 84: CHAPTER 6 REVIEW 1. Answers will va
Page 85 and 86: Answers to Exercises CHAPTER 7 •
Page 87 and 88: 15. possible answer: HIKED 16. one,
Page 89 and 90:
LESSON 7.4 1. Answers will vary. 2.
Page 91 and 92:
LESSON 7.6 1. Answers will vary. 2.
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1. parallelograms 2. parallelograms
Page 95 and 96:
CHAPTER 7 REVIEW 1. true 2. true 3.
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1. 20 cm 2 2. 49.5 m 2 3. 300 squar
Page 99 and 100:
USING YOUR ALGEBRA SKILLS 8 1. x 2
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LESSON 8.5 1. 9 in 2 2. 49 cm 2 3.
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LESSON 8.7 1. 150 cm 2 2. 4070 cm 2
Page 105 and 106:
Answers to Exercises CHAPTER 9 •
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USING YOUR ALGEBRA SKILLS 9 1. 6 2.
Page 109 and 110:
LESSON 9.4 1. No. The space diagona
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LESSON 9.6 1. 18 cm2 56.5 cm2 2. (
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32. 4 in./s 12.6 in./s 33. true 34
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36. See table below. Possible answe
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LESSON 10.3 1. 192 cm3 2. 84 cm3 2
Page 119 and 120:
LESSON 10.5 1. 675 cm3 2. 36 cm3 1
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LESSON 10.7 1. V 972 cm3 3054 cm3
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CHAPTER 10 REVIEW 1. They have the
Page 125 and 126:
1. A 2. B 3. possible answer: 3. po
Page 127 and 128:
LESSON 11.3 1. 16 m 2. 4 ft 3 in. 3
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1. 18 cm 2. 12 cm 3. 21 cm 4. 15 cm
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1. 1715 cm 3 LESSON 11.6 2. 16 cm,
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Use segment addition to show that e
Page 135 and 136:
Page 137 and 138:
LESSON 12.3 1. 329 cm 2 2. 4 cm 2 3
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LESSON 12.5 1. approximately 12.7 m
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13. f(x) 1 2 (x3)2 2; A vertical s
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Page 145 and 146:
LESSON 13.2 1. Linear Pair Postulat
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LESSON 13.3 1. Case 1: P is colline
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1. A LESSON 13.4 Use x to represent
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LESSON 13.5 1. D: Paris is in Franc
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8. Use the Inscribed Angle Theorem
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11. CA Postulate 12. 13. Perpendicu
Page 157 and 158:
8. Task 1: Given: A rectangle with
Page 159 and 160:
CHAPTER 13 REVIEW 1. False. The qua
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