Types of Transformations Reflection A figure is flipped over a line. Translation A figure slides. Dilation A figure is enlarged or reduced. Rotation A figure is turned around a point. Example 1: Identify Transformations Identify each as a reflection, translation, dilation, or rotation. a.) b.) c.) d.) Example 2: Reflection A trapezoid with the vertices W (‐1, 4), X (4, 4), Y (4, 1), and Z (‐3, 1) is reflected over the x‐axis. a.) Find the coordinates of the vertices of the image. b.) Graph trapezoid WXYZ and its image W’X’Y’Z’. Example 3: Translation A triangle with vertices A (‐2, 1), B (2, 4), and C (1, 1) is translated 3 units to the right and 5 units down. a.) Find the coordinates of the vertices of the image. b.) Graph triangle ABC and its image A’B’C’. Example 4: Dilation A trapezoid with the vertices E (‐1, 2), F (2, 1), G (2, ‐1), and H (‐1, ‐2) is dilated by a scale factor of 2. a.) Find the coordinates of the vertices of the image. b.) Graph trapezoid EFGH and its image E’F’G’H’. Example 5: Rotation A triangle with vertices A (1, ‐3), B (3, 1), and C (5, ‐2) is rotated 180⁰ about the origin. a.) Find the coordinates of the vertices of the image. b.) Graph triangle ABC and its image A’B’C’.