1. 8-7 Transformation Objective: Students recognize, describe, and show transformation.

2. Vocabulary  transformation- changes the position or orientation of a figure.  image- result of transformation, the image is congruent to the original figure.

3. TranslationReflectionRotation A translation slides a figure along a line without turning it. A reflection flips a figure across a line to create a mirror image. A rotation turns a figure around a point, called the center of rotation. Vocabulary

4. Example 1  Identify each type of transformation. 4 -4 4 4 4

5. Example 2 Graph the translation of △ABC 6 units right and 4 units down. 4 -4 2 -2

6. Example 3 Graphing the reflection of each figure across the indicated axis. Write the coordinates of the vertices of the image. 4 -4 4 4 1 a. x -axis b. y -axis F A H B C D E F G G

7. Example 4 Triangle JKL has vertices J(-3, -1), K(-3,-2 and L(1, -2). Rotate △ JKL 90° counterclockwise about the vertex J. 4-4 6 -2