518 CHAPTER 8 Geometry 44. a) Reflect pentagon ABCDE, shown below, about line l. Label the reflected pentagon A BC D E . ′ ′ ′ ′ ′ * l B C D A E b) Other than vertex labels, is the position of pentagon A BC D E ′ ′ ′ ′ ′ identical to the position of pentagon ABCDE? Yes c) Does pentagon ABCDE have reflective symmetry about line l? Yes 45. a) Rotate rectangle ABCD, shown below, 90° about point P. Label the rotated rectangle A BC D. ′ ′ ′ ′ * D P A B C b) Other than vertex labels, is the position of rectangle A BC D ′ ′ ′ ′ identical to the position of rectangle ABCD? No c) Does rectangle ABCD have 90° rotational symmetry about point P? No d) Now rotate the rectangle in the original position, rectangle ABCD, 180° about point P. Label the rotated rectangle A B C D . ″ ″ ″ ″ * e) Other than vertex labels, is the position of rectangle A B C D ″ ″ ″ ″ identical to the position of rectangle ABCD? Yes f) Does rectangle ABCD have 180° rotational symmetry about point P? Yes 46. a) Rotate square ABCD, shown below, 90° about point P. Label the rotated square A BC D. ′ ′ ′ ′ * C D P A B 41. a) Reflect triangle ABC, shown below, about line l. Label the reflected triangle A BC. ′ ′ ′ * B C l A b) Other than vertex labels, is the position of triangle A BC ′ ′ ′ identical to the position of triangle ABC? Yes c) Does triangle ABC have reflective symmetry about line l? Yes 42. a) Reflect quadrilateral ABCD, shown below, about line l. Label the reflected quadrilateral A BC D. ′ ′ ′ ′ * l A D C B b) Other than vertex labels, is the position of quadrilateral A BC D ′ ′ ′ ′ identical to the position of quadrilateral ABCD? No c) Does quadrilateral ABCD have reflective symmetry about line l? No 43. a) Reflect parallelogram ABCD, shown below, about line l. Label the reflected parallelogram A BC D. ′ ′ ′ ′ * C D A B l b) Other than vertex labels, is the position of parallelogram A BC D ′ ′ ′ ′ identical to the position of parallelogram ABCD? No c) Does parallelogram ABCD have reflective symmetry about line l? No *See Instructor Answer Appendix
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