The Coordinate Plane 11. about 4.5 mi 12. about 3.2 mi

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Presentation transcript:

The Coordinate Plane 11. about 4.5 mi 12. about 3.2 mi 13. 6.4 GEOMETRY LESSON 1-6 11. about 4.5 mi 12. about 3.2 mi 13. 6.4 14. 15.8 15. 15.8 16. 5 17. B, C, D, E, F 18. (4, 2) 19. (3, 1) 20. (3.5, 1) 21. (6, 1) 22. (–2.25, 2.1) 23. (3 , –3) 24. (10, –20) 25. (5, –1) 26. (0, –34) 27. (12, –24) 28. (9, –28) 29. (5.5, –13.5) 30. (8, 18) 1. 6 2. 18 3. 8 4. 9 5. 23.3 6. 10 7. 25 8. 12.2 9. 12.0 10. 9 mi Pages 46–49 Exercises 7 8 1-6

The midpts. Are the same, (5, 4). The diagonals bisect each other. 43. The Coordinate Plane GEOMETRY LESSON 1-6 31. (4, –11) 32. 5.0; (4.5, 4) 33. 5.8; (1.5, 0.5) 34. 7.1; (–1.5, 0.5) 35. 5.4; (–2.5, 3) 36. 10; (1, –4) 37. 2.8; (–4, –4) 38. 6.7; (–2.5, –2) 39. 5.4; (3, 0.5) 40. 2.2; (3.5, 1) 41. IV 42. The midpts. Are the same, (5, 4). The diagonals bisect each other. 43. ST = (5 – 2)2 + (–3 – (–6))2 = 9 + 9 = 3 2 4.2 TV = (6 – 5)2 + (–6 – (–3))2 = 1 + 9 = 10 3.2 VW = (5 – 6)2 + (–9 – (–6))2 = 9 + 9 = 3 2 3.2 SW = (5 – 2)2 + (–9 – (–6))2 = 9 + 9 = 3 2 4.2 No, but ST = SW and TV = VW. 1-6

53–56. Answers may vary. Samples are given. The Coordinate Plane GEOMETRY LESSON 1-6 50. 1073 mi 51. 2693 mi 52. 328 mi 53–56. Answers may vary. Samples are given. 53. (3, 6), (0, 4.5) 54. E (0, 0), (8, 4) 55. (1, 0), (–1, 4) 56. (0, 10), (5, 0) 44. 19.2 units; (–1.5, 0) 45. 10.8 units; (3, –4) 46. 5.4 units; (–1, 0.5) 47. Z; about 12 units 48. 165 units; The dist. TV is less than the dist. TU, so the airplane should fly from T to V to U for the shortest route. 49. 934 mi 57. exactly one pt., E (–5, 2) 58. exactly one pt., J (2, –2) 59. a–f. Answers may vary. Samples are given. a. BC = AD b. If two opp. sides of a quad. are both || and , then the other two opp. sides are . 1-6

c. The midpts. are the same. The Coordinate Plane GEOMETRY LESSON 1-6 59. (continued) c. The midpts. are the same. d. If one pair of opp. sides of a quad. are both || and , then its diagonals bisect each other. e. EF = AB 59. (continued) f. If a pair of opp. sides of a quad. are both || and , then the segment joining the midpts. of the other two sides has the same length as each of the first pair of sides. 60. A (0, 0, 0) B (6, 0, 0) C (6, –3.5, 0) D (0, –3.5, 0) E (0, 0, 9) F (6, 0, 9) G (0, –3.5, 9) 61. 62. 6.5 units 63. 11.7 units 64. B 65. I 1-6

b. Yes, R must be (–10, 8) so that RQ = 160. The Coordinate Plane GEOMETRY LESSON 1-6 66. A 67. C 68. A 69. [2] a. (–10, 8), (–1, 5), (8, 2) b. Yes, R must be (–10, 8) so that RQ = 160. [1] part (a) correct or plausible explanation for part (b) 70. 71. 72. 73. 74. 10 75. 10 76. 48 77. TAP, PAT 78. 150 1-6