Do-Now Find the value of x. A = 20 A = 35 x 4 x – 2 2x 3x A = 96 13 5

Types of Transformations: Line Symmetry – can draw a line through the figure to make two equal halves. Transformation – operation that maps, or moves, a pre-image onto an image. Types of Transformations: Reflection – uses a line that acts like a mirror (line of reflection) Pre-Image – original figure Image – new figure

Now try reflecting the original shape in the y-axis!!!! Reflection **Count the number of spaces to the reflection and then go that far out. In the x-axis Ex: Reflect Parallelogram ABCD with A(2, –1), B(8, –1), C(10, –4), D(4, –4) in the x-axis. Now try reflecting the original shape in the y-axis!!!!

Now reflect in the line y = –1. In the line y = x y = x Example: Reflect Triangle SUN with S(–2, 2), U(–1, 4), N(–4, 7) in the line y = x. y = –1 Now reflect in the line y = –1.

**Start at (x, y) and go to (x + h, y + k) Translation – slides the figure a given distance **Start at (x, y) and go to (x + h, y + k) Use the translation (x + 3, y – 2) for each. (2, 1) (–5, 3) (5, –1) (–2, 1) Under the translation (x – 5, y + 4), move quadrilateral ABCD with A(4, 1), B(6, 3), C(2, 3), D(1, –1).

Under the translation (x – 5, y + 4), move quadrilateral ABCD with A(4, 1), B(6, 3), C(2, 3), D(1, –1).