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Answers to Exercises LESSON 0.6 1. possible answers: Morocco, Iran, Spain, Malaysia 2. Alhambra 3. 2.1 cm 4. in terms of the original square tile: 4-fold in the center (center of orange) or corner (center of white); 2-fold in the midpoint of the edge of the tile (where two orange shapes meet) 6 ANSWERS TO EXERCISES 6. Designs will vary. 7. Designs will vary, but should contain a regular hexagon. 8. Tessellations will var y.
CHAPTER 0 REVIEW 1. possible answer: Islamic, Hindu, Celtic 2. Sometimes the large hexagons appear as blocks with a corner removed, and sometimes they appear as corners with small cubes nestled in them. 3. Compass: A geometry tool used to construct circles. Straightedge: A geometry tool used to construct straight lines. 4. possible answer: 5. 6. possible answers: hexagon: honeycomb, snowflake; pentagon: starfish, flower 7. Answers will vary. Should be some form of an interweaving design. 8. Wheel A has four lines of reflectional symmetry; WheelChasfivelinesofreflectionalsymmetry. Wheels B and D do not have reflectional symmetry. 9. Wheels B and D have only rotational symmetry. Wheels A and B have 4-fold, Wheel C has 5-fold, and Wheel D has 3-fold rotational symmetry. 10, 11. Drawing should contain concentric circles and symmetry in some of the rings. 12. The mandala should contain all the required elements. 13a. The flag of Puerto Rico is not symmetric because of the star and the colors. 13b. The flag of Kenya does not have rotational symmetry because of the spearheads. 13c. possible answers: Japan Nigeria ANSWERS TO EXERCISES 7 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: LESSON 0.5 1. possible answers: Sco
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
Page 55 and 56: 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 •
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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.
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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
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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
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
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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
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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