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<strong>Answers</strong> to Exercises 13. See table below. 14. 15. 16. 17. F A C D B Y I T E F 13. (Lesson 3.3) 36 ANSWERS TO EXERCISES 18. not congruent 19. possible answer: 20. possible answer: 5 cm 6 cm 40 5 cm 8 cm 9 cm 9 cm Rectangular pattern with triangles Rectangle 1 2 3 4 5 6 … n … 35 Number of shaded triangles 2 9 20 35 54 77 … … 2484 40 8 cm 6 cm (2n 1)(n 1)
1. D 2. F 3. A 4. C 5. E 6. 7. 8. 9a, b. 9c. 10. R M M z M Altitude M O S 135 z z E 45 90 45 45 E S LESSON 3.4 A P R A R P A U B M Angle bisector Median P 11. 12. The angle bisectors are perpendicular. The sum of the measures of the linear pair is 180°. The sum of half of each must be 90°. 13. If a point is equally distant from the sides of an angle, then it is on the bisector of an angle. This is true for points in the same plane as the angle. Mosaic answers: Square pattern constructions: perpendiculars, equal segments, and midpoints; The triangles are not identical, as the downward ones have longer bases. 14. y 110° 15. mR 46° 16. Angle A is the largest; mA 66°, mB 64°, mC 50°. 17. STOP 18. A N L G T O I S ANSWERS TO EXERCISES 37 <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: 1. LESSON 3.3 The answer depends on
Page 39 and 40: 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 and 92:
LESSON 7.6 1. Answers will vary. 2.
Page 93 and 94:
1. parallelograms 2. parallelograms
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 105 and 106:
Answers to Exercises CHAPTER 9 •
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 135 and 136:
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:
Page 145 and 146:
LESSON 13.2 1. Linear Pair Postulat
Page 147 and 148:
LESSON 13.3 1. Case 1: P is colline
Page 149 and 150:
1. A LESSON 13.4 Use x to represent
Page 151 and 152:
LESSON 13.5 1. D: Paris is in Franc
Page 153 and 154:
8. Use the Inscribed Angle Theorem
Page 155 and 156:
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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