Question

does the transformation appear to be a rigid motion? explain. choose the correct answer below. a. the transformation is a rigid motion because the image appears to have the same orientation as the preimage. b. the transformation is 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 appear to be the same size. d. the transformation is not a rigid motion because the corresponding sides do not appear to be the same size.

Explanation:

Step1: Recall the definition of rigid motion

A rigid motion is a transformation that preserves the size and shape of the figure. That is, all corresponding angles and sides are congruent.

Step2: Analyze each option

• Option A: Just having the same orientation is not sufficient for a rigid motion. Rigid motion requires preservation of size (sides and angles).
• Option B: If all corresponding angles and sides appear to be the same size, then by the definition of rigid motion, it is a rigid motion. But looking at the pre - image and image (assuming from visual inspection of the pentagons in the problem, if they are not the same size).
• Option C: Having the same angles but different side lengths is not a rigid motion.
• Option D: If corresponding sides do not appear to be the same size, then it is not a rigid motion.

Answer:

D. The transformation is not a rigid motion because the corresponding sides do not appear to be the same size.