Question

does the transformation appear to be a rigid motion? explain. choose the correct answer below. a. the transformation is not a rigid motion because the image and pre - image do not overlap. b. the transformation is not a rigid motion because all corresponding angles and sides appear to be the same size. c. the transformation is a rigid motion because all corresponding angles and sides appear to be the same size. d. the transformation is not a rigid motion because the image appears to have a different orientation than the pre - image.

Explanation:

A rigid motion preserves size, shape, and orientation. If the image has a different orientation than the pre - image, it is not a rigid motion. In a rigid motion, translations, rotations, and reflections keep the figure's orientation relative to its original form (in the case of rotation, the orientation changes in a way that is consistent with the rules of rotation and can be mapped back to the original orientation in a predictable way). Here, a different orientation indicates it's not a rigid motion.

Answer:

D. The transformation is not a rigid motion because the image appears to have a different orientation than the preimage.