Question

does the transformation appear to be a rigid motion? explain. a. the transformation is not a rigid motion because the corresponding sides do not appear to be the same size b. the transformation is a rigid motion because all corresponding angles 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 a rigid motion because the image appears to have the same orientation as the preimage

Explanation:

A rigid motion (also known as an isometry) preserves the size and shape of the pre - image. This means that all corresponding sides and angles of the pre - image and the image are congruent.

• Option B only mentions angles. A rigid motion requires both angles and sides to be preserved.
• Option C is incorrect as the sides do not appear to be the same size (by visual inspection of the pre - image and image pentagons).
• Option D: Orientation is not the key factor for a rigid motion. The preservation of size (sides and angles) is the main criterion.
• Option A: Since the corresponding sides do not appear to be the same size (a requirement for a rigid motion), the transformation is not a rigid motion.

Answer:

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