8.5 Transformational Geometry, Symmetry, and Tessellations 515 Exercises Warm Up Exercises In Exercises 1–8, fill in the blanks with an appropriate word, phrase, or symbol(s). 1. A rigid motion that moves a geometric figure to a new position such that the new position is a mirror image of the figure in the starting position is called a(n) _______. Reflection 2. A rigid motion that moves a geometric figure by sliding it along a straight line segment in the plane is called a(n) _______. Translation 3. A concise way to indicate the direction and the distance that a figure is moved during a translation is with a translation _______. Vector 4. A rigid motion performed by rotating a geometric figure in the plane about a specific point is called a(n) _______. Rotation 5. The angle through which a geometric figure is rotated during a rotation is called the angle of _______. Rotation 6. A rigid motion formed by performing a translation followed by a reflection is called a(n) _______ reflection. Glide 7. A rigid motion that moves the geometric figure back onto itself is called a(n) _______. Symmetry 8. A pattern consisting of the repeated use of the same geometric figures to entirely cover a plane, leaving no gaps, is called a(n) _______. Tessellation Practice the Skills/Problem Solving In Exercises 9–16, use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection. In Exercises 9 and 10, use the following figure. Construct C B A l m 9. the reflection of triangle ABC about line l. * 10. the reflection of triangle ABC about line m. * In Exercises 11 and 12, use the following figure. Construct B A C D l m 11. the reflection of rectangle ABCD about line l. * 12. the reflection of rectangle ABCD about line m. * In Exercises 13 and 14, use the following figure. Construct C B A D l m 13. the reflection of trapezoid ABCD about line m. * 14. the reflection of trapezoid ABCD about line l. * In Exercises 15 and 16, use the following figure. Construct C l m 15. the reflection of circle C about line m. * 16. the reflection of circle C about line l. * SECTION 8.5 *See Instructor Answer Appendix
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