Question

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

Explanation:

A rigid - motion transformation, also known as an isometry, preserves both angle measures and side - lengths. In a rigid motion, if the pre - image and image are squares with side - length 3 and the transformation is a rotation (a type of rigid motion), the angles in the pre - image are 90 degrees each, and the side - lengths are 3 units each. Since rigid motion preserves these properties, the angles in the image are also 90 degrees each and the side - lengths are 3 units each.

Answer:

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. The transformation is a rigid motion because it preserves length and angle measure.