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Answers to Exercises 1. equilateral triangles. 2. regular hexagons. 3. 4. 5. Answers will vary. 6. Answers will vary. 7. sample design: LESSON 7.7 8. False; they must bisect each other in a parallelogram. 92 ANSWERS TO EXERCISES 9. true 10. true 11. False; it could be a kite or an isosceles trapezoid. 12. The path would be 1 4 of Earth’s circumference, approximately 6280 miles, which will take 126 hours, or around 5 1 4 days. 13a. Using the Reflection Line Conjecture, the line of reflection is the perpendicular bisector of AAand BB. Because these segments are both perpendicular to the reflection line, they are parallel to each other. Note that if AB is parallel to the reflection line, quadrilateral AABB will be a rectangle instead of a trapezoid. 13b. Yes; it has reflectional symmetry, so legs and base angles are congruent. 13c. greatest: near each of the acute vertices; least: at the intersection of the diagonals (where A, C, and B become collinear and A,C,and B become collinear) 14a. ? ? 3 5 6 6 0 1 0 14b. 13 30 ? 2 8 3 12 4 8 9 0 7 2 ? ? 5 1 10 108 9 ? ? 28 15 ? 29 50
1. parallelograms 2. parallelograms 3. 4. LESSON 7.8 5. Answers will vary. 6. Answers will vary. 7. Circumcenter is (3, 4); orthocenter is (10, 8). 8. 9. 10. ANSWERS TO EXERCISES 93 Answers 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,
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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
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LESSON 1.7 1. Answers will vary. Sa
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LESSON 1.8 1. 2. 3. 4. 5. 6. 7. 8.
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CHAPTER 1 REVIEW 1. true 2. False;
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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.
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CHAPTER 2 REVIEW 1. poor inductive
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1. 2. 3. 4. 5. A B Q D C D 1 CD 2 E
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1. LESSON 3.3 The answer depends on
Page 37 and 38:
1. D 2. F 3. A 4. C 5. E 6. 7. 8. 9
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LESSON 3.5 1. 2. 3. Construct a seg
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: LESSON 7.6 1. Answers will vary. 2.
Page 95 and 96: CHAPTER 7 REVIEW 1. true 2. true 3.
Page 97 and 98: 1. 20 cm 2 2. 49.5 m 2 3. 300 squar
Page 99 and 100: USING YOUR ALGEBRA SKILLS 8 1. x 2
Page 101 and 102: LESSON 8.5 1. 9 in 2 2. 49 cm 2 3.
Page 103 and 104: LESSON 8.7 1. 150 cm 2 2. 4070 cm 2
Page 107 and 108: USING YOUR ALGEBRA SKILLS 9 1. 6 2.
Page 109 and 110: LESSON 9.4 1. No. The space diagona
Page 111 and 112: LESSON 9.6 1. 18 cm2 56.5 cm2 2. (
Page 113 and 114: 32. 4 in./s 12.6 in./s 33. true 34
Page 115 and 116: 36. See table below. Possible answe
Page 117 and 118: LESSON 10.3 1. 192 cm3 2. 84 cm3 2
Page 119 and 120: LESSON 10.5 1. 675 cm3 2. 36 cm3 1
Page 121 and 122: LESSON 10.7 1. V 972 cm3 3054 cm3
Page 123 and 124: 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
Page 129 and 130: 1. 18 cm 2. 12 cm 3. 21 cm 4. 15 cm
Page 131 and 132: 1. 1715 cm 3 LESSON 11.6 2. 16 cm,
Page 133 and 134: Use segment addition to show that e
Page 137 and 138: LESSON 12.3 1. 329 cm 2 2. 4 cm 2 3
Page 139 and 140: LESSON 12.5 1. approximately 12.7 m
Page 141 and 142: 13. f(x) 1 2 (x3)2 2; A vertical s
Page 143 and 144:
Answers to Exercises CHAPTER 13 •
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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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