CHAPTER 8 Test 539 In Exercises 43 and 44, use the following figure to answer the following questions. A B C D P 43. Does rectangle ABCD have 90° rotational symmetry about point P? Explain. No 44. Does rectangle ABCD have 180° rotational symmetry about point P? Explain. Yes 8.6 45. Give an example of an object that has a) genus 0. Answers will vary. b) genus 1. Answers will vary. c) genus 2. Answers will vary. d) genus 3 or more. Answers will vary. 46. Color the map by using a maximum of four colors so that no two regions with a common border have the same color. 1 2 3 5 4 6 7 8 9 10 A 47. Determine whether point A is inside or outside the Jordan curve. Outside 8.7 48. State the fifth axiom of Euclidean, elliptical, and hyperbolic geometry. * 49. Develop a fractal by beginning with a square and replacing each side with . Repeat this process twice. * 50. Construct a Koch snowflake by beginning with an equilateral triangle and replacing each side with a . Repeat this process twice. * *See Instructor Answer Appendix Test CHAPTER 8 In Exercises 1– 4, use the figure to describe the following. Many answers are possible. 1. h h AB AE < BAE or EAB 2. BC CD BD < < BCD Δ 3. EDF BDC > D{ } 4. h h AC BA < gAC 5. m A 41.8°. = Determine the measure of the complement of A. 48.2° 6. m B 73.5°. = Determine the measure of the supplement of B. 106.5° 7. In the figure, determine the measure of x. 68° 8. Determine the sum of the measures of the interior angles of a hexagon. 720° 9. Triangles ABC and A BC ′ ′ ′ are similar figures. Determine the length of side BC . ′ ′ 2.69 cm ≈ 10. Right triangle ABC has one leg of length 12 in. and hypotenuse of length 13 in. (See the following figure) a) Determine the length of the other leg. 5 in. b) Determine the perimeter of the triangle. 30 in. c) Determine the area of the triangle. 30 in.2 A B C D E F x 1168 488 B' B C A' C' A 8 cm 13 cm 7 cm 5 cm Answers will vary. *See Instructor Answer Appendix
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