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<strong>Answers</strong> to Exercises LESSON 12.2 1. 9 cm 2. 64° 3. 7 cm 4. 24 m 5. 22 in. 6. 49° 7. 127° 8. 30° 9. 64 cm 10. approximately 655 m 11. approximately 101 m 12. approximately 65 m 13. approximately 188 m 14. approximately 1621 m 15. approximately 1570 m 16a. approximately 974 m 16b. approximately 1007 m 16c. Yes, the height of the balloon would be 1 m less because you don’t have to account for the tripod. The distance to a point under the balloon would not change. 136 ANSWERS TO EXERCISES 17. 45° 18. 60° 19. 60° 20a. 15.04 20b. 2.05 20c. 5.2304 20d. 2.644 21. x 3.5, y 9 1 7 9.14 22. The block has a volume of 90 cm3 but it displaces only 62.8 cm3 of water. So not all of the block is under water, which means it floats. 23. CZ AX BY 24a. decreases, approaching 0 24b. decreases, approaching 0 24c. remains 90° 24d. increases, approaching (AO) 2 24e. decreases, approaching 1 24f. decreases, approaching 1 25. R(8, 7) and E(3, 9), or R(4, 3) and E(1, 1)
LESSON 12.3 1. 329 cm 2 2. 4 cm 2 3. 11,839 cm 2 4. 407 cm 2 5. 35 cm 6. 17 cm 7. 30 cm 8. 56° 9. 45° 10. 66° 11a. approximately 2200 m 11b. approximately 1600 m 11c. approximately 1400 m 12. The other two walls were 300 ft and approximately 413 ft. The area was approximately 45,000 ft 2 . 13. approximately 48 m 14. 2366 cm; approximately 41° 15. approximately 5° 16. 93 8 cm3 , or approximately 6 cm3 17. Because AB CD , A D by the AIA Conjecture. Because D and B intercept the same arc, D B. Therefore A B by the transitive property. So ABE is isosceles by the Converse of the Isosceles Triangle Conjecture. 18. Draw line through the two points. Then fold the paper so that the two points coincide. Draw another line along the fold. These two lines contain the diagonals of the square. Now fold the paper so that the two lines coincide. Mark the vertices on the other line. 19. AC 60 cm, AE 93.75 cm, AF 117 cm 20. Box 1; about 1.2 in. longer ANSWERS TO EXERCISES 137 <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,
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34. B 35. MY; CK; mI 36. SEU; EUO;
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20. false 21. true 22. false; Thoug
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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 •
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8. 8n is steeper; the coefficient o
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LESSON 2.4 1. inductive; deductive
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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
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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
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LESSON 3.6 1. Sample description: C
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1. incenter LESSON 3.7 Because the
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LESSON 3.8 1. The center of gravity
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42. true 43. False; any non-acute t
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LESSON 4.2 1. 79° 2. 54° 3. 107.5
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1. yes 2. no 3. no 4 5 9 5 6 12 LES
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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
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Answers to Exercises 5 CHAPTER 5
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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 •
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 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: Answers to Exercises CHAPTER 12 •
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 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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