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Answers to Exercises LESSON 0.2 1. compass and straightedge 2. Answer will be the Astrid or 8-Pointed Star, possibly with variations. 3. Answers will be a design from among the three choices. 4. The first design has 4-fold symmetry and four lines of reflectional symmetry. The triangle has 3-fold rotational symmetry and three lines of reflectional symmetry. The third design has 6-fold rotational symmetry if you ignore color and 2-fold rotational symmetry if you don’t. 5. possible answer: 2 lines of reflectional symmetry 2 ANSWERS TO EXERCISES 6. possible answer: 7. 3 lines of reflectional symmetry 3-fold rotational symmetry: rotated 120, 240, 360
LESSON 0.3 1. Design with reflectional symmetry is drawn on this background. 2. Design should have rotational symmetry. Possible answer: 3. possible answer: 4. possible answer: 5. Drawing should resemble the hexagons in the given figure, except that each radius, and the side of each hexagon, should measure 1 inch. ANSWERS TO EXERCISES 3 Answers to Exercises
Page 1: Answers to Exercises 0 CHAPTER 0
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 and 38: 1. D 2. F 3. A 4. C 5. E 6. 7. 8. 9
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
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1. See flowchart below. 2. See flow
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1. 6 2. 90°; 18° 3. 45° 4. See f
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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°
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1. 34 cm; 27 cm 2. 132°; 48° 3. 1
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1. 2. 3. (0, 4) y y y (0, 6) USING
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22. The platform stays parallel to
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7. 2 RE AB 3 BR EA 4 AR EB
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20. Speed: 901.4 km/h. Direction:
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LESSON 6.2 1. 165°, definition of
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1 OR CD ? 5 OC OD ? All radii o
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LESSON 6.5 1. d 5 cm 2. C 10 cm 3
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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 •
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15. possible answer: HIKED 16. one,
Page 89 and 90:
LESSON 7.4 1. Answers will vary. 2.
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LESSON 7.6 1. Answers will vary. 2.
Page 93 and 94:
1. parallelograms 2. parallelograms
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CHAPTER 7 REVIEW 1. true 2. true 3.
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1. 20 cm 2 2. 49.5 m 2 3. 300 squar
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USING YOUR ALGEBRA SKILLS 8 1. x 2
Page 101 and 102:
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:
Page 107 and 108:
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
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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
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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
Page 143 and 144:
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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