### 4.8 Perform Congruence Transformations

```Geometry Chapter 4: Congruent Triangles 4.8-­‐ Perform Congruence Transformations SWBAT: create an image congruent to a given triangle. Common Core: G.CO.6, G.CO.7, G.CO.8, G.CO.9, G.CO.10, G.CO.12, G.SRT.5
A _________________________________ is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the ________________________________. A transformation can be shown using an arrow. There are three main types of transformations. 1. A ____________________________ moves every point in the figure the same distance in the same direction. 2. A ____________________________ uses the line of reflection to create a mirror image of the original figure. 3. A ____________________________ turns a figure about a fixed point, called the center of rotation. Example 1: Identify the transformations. Name the type of transformation demonstrated in each picture. Geometry Chapter 4: Congruent Triangles A ______________________________________________ changes the position of the figure without changing its size or shape. Example 2: Translate a figure in the coordinate plane Figure ABCD has the vertices 𝐴(−4, 3), 𝐵(−2, 4), 𝐶(−1, 1), 𝑎𝑛𝑑 𝐷(−3, 1). Sketch ABCD and its image after the translation 𝑥, 𝑦 → (𝑥 + 5, 𝑦 − 2). (𝑥, 𝑦) (𝑥 + 5, 𝑦 − 2) 𝐴(−4, 3) 𝐵(−2, 4) 𝐶(−1, 1) 𝐷(−3, 1) Geometry Chapter 4: Congruent Triangles Example 3: Reflect a figure in the x-­‐axis You are drawing a pattern for a cross stitch design. Use a refelction in the x-­‐axis to draw the half of the pattern. Step 1: Multiply the __________________ by −1. (𝑥, 𝑦) (−1, 0) (1, 1) (2, 4) (3, 1) (7, 0) Geometry Chapter 4: Congruent Triangles Practice: Name the type of transformation shown. Geometry Chapter 4: Congruent Triangles Example 4: Identify a rotation Geometry Chapter 4: Congruent Triangles Example 5: Verify congruence Homework: 4.9 Practice B ```