Question

under a transformation, a preimage and its image are both squares with side - length 3. the image, however, is rotated with respect to the preimage. is the transformation a rigid motion? explain. a rigid motion is a transformation that preserves length. each side in the preimage has length and each side in the image has length , so the transformation side - length. each angle in the preimage has a measure of and each angle in the image has a measure of , so the transformation angle measure. therefore, the transformation a rigid motion. (do not include the degree symbol in your answers.)

Explanation:

Step1: Recall definition of rigid motion

A rigid - motion preserves angle measures and side lengths.

Step2: Analyze given transformation

The pre - image and image are squares with side length 3. Each angle in the pre - image has a measure of 90, and each angle in the image has a measure of 90. Each side in the pre - image has length 3, and each side in the image has length 3.

Answer:

Yes, the transformation is a rigid motion because it preserves angle measures (90) and side lengths (3).