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Answers to Exercises LESSON 1.2 1. TEN, NET, E; FOU, UOF, 1; ROU, UOR, 2 2. N 3. 4. 5. S, P, R, Q; none in the second figure 6. possible answer: A D 7. 90° 8. 120° 9. 45° 10. 135° 11. 45° 12. 135° 13. 30° 14. 90° 15. Yes; mXQA mXQY 45° 90° 135°, which equals mAQY. 16. 69° 17. 110° 18. 40° 19. 125° 20. 55° 21. SML has the greater measure because mSML 30° and mBIG 20°. 22. 23. A T G M B A 44 I C B S 90 B 10 ANSWERS TO EXERCISES L 24. 25. 26. no C A 27. 28. 29. 30. One possibility is 4:00. 31. H 32. C A T R 135 D E 22 22 Y 90 6 8 33. G T I D T H A 67.5 67.5 A N D N O S
34. B 35. MY; CK; mI 36. SEU; EUO; MO 37. x 54° 38. y 102° 39. z 32° 40. 288° 41. 242° 42. They add to 360°. 43. no 44. You will miss the target because the incoming angle is too big. Laser light source W Target O I Mirror T 45. 180 km. The towns can be represented by three collinear points, P, S, and G.Because S is between P and G, PS SG PG. 46. 12 cm 47. 48. MS DG means that the distance between M and S equals the distance between D and G. MS DG means that segment MS is congruent to segment DG. The first statement equates two numbers. The second statement concerns the congruence between two geometric figures. However, they convey the same information and are marked the same way on a diagram. 49. Answers will vary. Possible answer. 40 70 A 4 cm B 6 cm 6 cm 4.36 cm 2.18 cm 2.18 cm C 40 70 D 6 cm E F ANSWERS TO EXERCISES 11 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: USING YOUR ALGEBRA SKILLS 1 1. (3,
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
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°
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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
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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,
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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
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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
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Page 107 and 108:
USING YOUR ALGEBRA SKILLS 9 1. 6 2.
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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
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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
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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
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8. Task 1: Given: A rectangle with
Page 159 and 160:
CHAPTER 13 REVIEW 1. False. The qua
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