1. Reflections and Symmetry November 23, 2010

2. Lines of Symmetry Figures that match exactly when folded in half have line symmetry. Each fold line is called a line of symmetry.

3. Determine whether the figure has line symmetry. If so, copy the lines of symmetry.

8. Reflection A transformation of a figure over a line. The line it crosses is called line of symmetry.

9. Graph triangle ABC. A (5, 2), B (1, 3) C(-1, -1) Graph its reflected image over the x-axis. Then find the coordinates of the reflected image.

10. Graph quadrilateral KLMN K (2, 3)L (5, 1)M (4, -2) N (1, -1) Graph the reflected image over the y axis. Find the coordinates of the reflected image.

11. Graph quadrilateral GHIJ G (3, -4)H (3, -1)I (-2, -1) J (-2, -4) Graph its reflected image over the x-axis. Then find the coordinates of the reflected image.

12. Graph triangle PQR P (1, 5)Q(3, 7)R (5, -1) Graph the reflected image over the y axis. Find the coordinates of the reflected image.

13. Triangle TUV with vertices T (-6, 1), U (-2, -3), and V (5, -4). Triangle TUV is reflected over the x axis. What are the new coordinates without graphing? Remember: over the x axis the x coordinate stays the same and the y coordinate changes.

14. Triangle MNP with vertices M (2, 1), N (-3, 1) and P (-1, 4) is reflected over the y axis. What are the coordinates of M′N′P′ without graphing the figure? Remember: over the y axis the x coordinate changes and the y coordinate stays the same.

15. Square ABCD with vertices A(2, 4), B(-2, 4), C(-2, 8) and D(2, 8) is reflected over the x-axis. What are the coordinates of A′B′C′D′?

16. Trapezoid WXYZ with vertices W(-1, -1), X(4, 1), Y(4, 5) and Z(1, 7) is reflected over the y-axis. What are the coordinates of W′X′Y′Z′?