# im.g.1.13.3.translate, rotate, reflect (10)

1. Mai suspects triangle ABC is congruent to triangle DEF. She thinks these steps will work to show there is a rigid transformation from ABC to DEF.
* Translate by directed line segment v.
* Rotate the image __ degrees counterclockwise around point D.
* Reflect that image over line DE.
Draw each image and determine the angle of rotation needed for these steps to take ABC to DEF.

2. Mai's first 2 steps could be combined into a single rotation.
Find the center and angle of this rotation.
Verify your answer by using the rotation and final step to take ABC onto DEF.

3. Describe a general procedure for finding a center of rotation.

## Attribution

illustrative mathematicsgeometryunit 1 (constructions)lesson 13activity 3
Translate, rotate reflect

__https://im.kendallhunt.com/HS/teachers/2/1/13/index.html__Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/