Translations and Reflections

 Move the figure  Same shape and size (Congruent) (x ± n, y ± m)  x + n, move every point n units to the right  x – n, move every point n units to the left  y + n, move every point m units up  y- n, move every point m units down Translation

 Graph triangle DEF with vertices D(-5, 2), E(1, 3), and F(-4, -3). Then graph the image of the triangle after it is translated 4 units right and 3 units down. 1.Graph triangle DEF Example #1

2. 4 units right  x + 4, 3 units down  y – 3 Example # 1 Cont.

 3. Graph triangle D’E’F’ D’ (-1, -1)E’(5, 0)F’(0, -6) Example # 1 Cont.

 Quadrilateral ABCD has vertices A(-5, -1), B (-3, 0), C (2, -2), and D (0, -6). Find the vertices of A’B’C’D’ after it is translated 2 units right and 2 units down. Try it on your own

 Flip the figure ( mirror image)  Same shape and size (Congruent)  Reflect over the x-axis, switch the sign of your y-coordinate (x, y) (-3, 2)  (-3, -2)  Reflect over the y-axis, switch the sign of your coordinate (x, y) (-1, 2)  (1, 2) Reflection

 Graph and find the coordinates of A’B’C’ after triangle ABC with vertices A(-1, 1), B(-4, 0), and C(0, -2) is reflected over the x-axis. 1.Graph triangle ABC Example # 2

Example # 2 Cont.  Find the coordinates of A’B’C’

3.Graph triangle A’B’C’ A’ (-1, -1)B’(-4, 0)C’(0, 2) Example # 2 Cont.

 Graph and find the coordinates of L’M’N’ after triangle LMN with vertices L(3, -2), M(4, 0), and N(1, 3) is reflected over the Y-axis. Try it on your own