540 CHAPTER 8 Geometry 12 in. 13 in. A B C 11. Determine (a) the volume and (b) the surface area of a sphere of diameter 14 cm. a) 1436.76 cm3 ≈ b) 615.75 cm2 ≈ 12. Determine the volume of the shaded region. Use the π key on your calculator and round your answer to the nearest hundredth. 59.43 m3 6 m 2 m 4 m 3 m 13. Determine the volume of the pyramid. 112 ft3 7 ft 12 ft 4 ft 14. Construct a reflection of rectangle ABCD, shown below, about line l. Show the rectangle in the positions both before and after the reflection. * A B C D l 15. Construct a translation of quadrilateral ABCD, shown below, using translation vector v. Show the quadrilateral in the positions both before and after the translation. * A B C D v 16. Construct a 180° rotation of triangle ABC, shown below, about rotation point P. Show the triangle in the positions both before and after the rotation. * A C B P 17. Construct a glide reflection of rectangle ABCD, shown below, using translation vector v and reflection line l. Show the rectangle in the positions both before and after the glide reflection. * 18. Use the following figure to answer the following questions. A B l C D P a) Does rectangle ABCD have reflective symmetry about line l? Explain. No b) Does rectangle ABCD have 180° rotational symmetry about point P? Explain. Yes 19. What is a Möbius strip? A surface with one side and one edge 20. a) Name an object of genus 1. Answers will vary. b) Name an object of genus 2. Answers will vary. *See Instructor Answer Appendix l A B D C v
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