Survey of Mathematics

8.5 Transformational Geometry, Symmetry, and Tessellations 517 In Exercises 29 and 30, use the following figure. Construct A B C P D 29. a 270° rotation of parallelogram ABCD about point P. * 30. a 180° rotation of parallelogram ABCD about point P. * In Exercises 31 and 32, use the following figure. Construct A B D C P 31. a 90° rotation of rectangle ABCD about point P. * 32. a 180° rotation of rectangle ABCD about point P. * In Exercises 33– 40, use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions both before and after the glide reflection. In Exercises 33 and 34, use the following figure. Construct C l m B A v w 33. a glide reflection of triangle ABC using vector v and reflection line l. * 34. a glide reflection of triangle ABC using vector w and reflection line m. * In Exercises 35 and 36, use the following figure. Construct D l m C A B w v 35. a glide reflection of square ABCD using vector w and reflection line m. * 36. a glide reflection of square ABCD using vector v and reflection line l. * In Exercises 37 and 38, use the following figure. Construct l m C D A B w v 37. a glide reflection of rectangle ABCD using vector v and reflection line l. * 38. a glide reflection of rectangle ABCD using vector w and reflection line m. * In Exercises 39 and 40, use the following figure. Construct D l m C A B w v 39. a glide reflection of trapezoid ABCD using vector w and reflection line m. * 40. a glide reflection of trapezoid ABCD using vector v and reflection line l. * *See Instructor Answer Appendix

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