DG5_PYS_Answers.pdf - ANSWER S LESSON 1.1 Building Blocks...

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9. Each segment has only 1 midpoint. Using the coor- dinates of each endpoint in the equation for the midpoint only results in one unique point. 10. There are an infinite number of segments that have the midpoint (2, 3). There can be an infinite number of segments rotated about this midpoint with various lengths in the coordinate plane. If you look at a three-dimensional plane, there are even more possible segments. LESSON 1.2 • Finding Angles 1. vertex 2. bisector 3. side 4. 126° 5. DAE 6. 133° 7. 47° 8. 63° 9. 70° 10. 11. 12. 13. 90° 14. 120° 15. 75° 16. 17. LESSON 1.3 • Creating Definitions 1. d 2. c 3. e 4. i 5. f 6. b 7. h 8. a 9. g 10. They have the same measure, 13°. Because m Q 77°, its complement has measure 13°. So m R 13°, which is the same as m P . 11. 12. 3 2 1 R P Q I R G 90° z 160° O M N 15° A D C B Q P Z T R LESSON 1.1 • Building Blocks of Geometry 1. S 2. 9 cm 3. SN 4. endpoint 5. NS 6. PQ 7. SP 8. KN KL, NM LM, NO LO 9. E ( 14, 15) 10. 11. 12. AB, AC, AD, AE, AF, BC, BD, BE, BF, CD, CE, CF, DE, DF, EF (15 lines) 13. Possible coplanar set: { C, D, H, G }; 12 different sets COORDINATE GEOMETRY 1: Midpoint 1. (4, 2) 2. ( 1, 8) 3. ( 5 2 , 1 ) 4. (5, 15) 5. (2, 5) 6. Using the coordinate grid, find the distance between the x -coordinates and the distance between the y -coordinates. Divide each distance by 3 to get the x - and y - coordinates: E (0, 4) and F (4, 6). 7. (1, 3) 8. ( 2, 1 2 ) 2.0 cm 3.2 cm A M B C D A D B F E C 1.5 cm 1.5 cm 3 cm 3 cm A B C E D Discovering Geometry Practice Your Skills ANSWERS 101 ©2015 Kendall Hunt Publishing A N S W E R S 8 6 4 2 2 4 5 5 10 F E C D
For Exercises 10–12, answers may vary. Possible answers are shown. 10. F (8, 2) 11. D (4, 3) 12. G (10, 2) LESSON 1.6 • Special Quadrilaterals 1. 2. 3. 4. 5. For Exercises 6–10, 12, and 13, answers may vary. Possible answers are shown. 6. 7. ACFD 8. EFHG 9. BFJD 10. BFHD 11. D (0, 3) 12. E (0, 5) 13. G (16, 3) LESSON 1.7 • Circles 1. 48° 2. 132° 3. 228° 4. 312° 5. 6. 7. (8, 2); (3, 7); (3, 3) 8. B A O C D T K E I M H R O P E R T A S Q R E P A R G R A N G a b a b b b 13. LESSON 1.4 • Polygons 9. 10. 11. AC, AD, AE 12. Possible answer: AB and BC 13. Possible answer: A and B 14. Possible answer: AC and FD 15. 82° 16. 7.2 17. 61° 18. 16.1 19. 6.2 cm LESSON 1.5 • Triangles For Exercises 1–7, answers will vary. Possible answers are shown. 1. AB GH 2. EF BI 3. CG FH 4. DEG and GEF 5. DEG and GEF 6. 7. 8. 9. C D A 40° R H G I T R L C M A N S A X B Y C Polygon Number of Number of name sides diagonals 1. Triangle 3 0 2. Quadrilateral 4 2 3. Pentagon 5 5 4. Hexagon 6 9 5. Heptagon 7 14 6. Octagon 8 20 7. Decagon 10 35 8. Dodecagon 12 54 P E N T A U Q A D 102 ANSWERS Discovering Geometry Practice Your Skills ©2015 Kendall Hunt Publishing
2. 3. 4. Possible answers: The two points where the figure and the image intersect determine . Or connect any two corresponding points and construct the perpendicular bisector, which is . 5. a. 5. b. 5. c. 6. a. True b. True c. False E C D E B A D C B P R L A L Q P R A T P E N T A A P E N 9. The chord goes through the center, P . (It is a diameter.) 10.

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