Question

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

Explanation:

A rigid motion (isometry) preserves the size and shape of the pre - image. That is, all corresponding angles and sides are congruent.

• Option B: Non - overlapping does not determine if it is a rigid motion. Rotations and translations (rigid motions) can result in non - overlapping images.
• Option C: A different orientation can still be a rigid motion (e.g., rotation is a rigid motion with a different orientation).
• Option D: If all corresponding angles and sides are the same size, it is a rigid motion, not the opposite.
• Option A: Since rigid motions preserve side lengths and angle measures, if all corresponding angles and sides appear to be the same size, the transformation is a rigid motion.

Answer:

A. The transformation is a rigid motion because all corresponding angles and sides appear to be the same size.