Question

14 which of the following is true for a rigid motion? a the preimage is in the same position as the image. b the preimage and the image have the same measurements. c the preimage is smaller than the image. d the preimage is larger than the image.

Explanation:

Rigid motion (also known as isometry) includes translation, rotation, and reflection. In rigid motion, the shape and size of the figure do not change. That is, the pre - image and the image are congruent. Congruent figures have the same measurements.

• Option A: Rigid motion can involve translation (sliding), rotation (turning), or reflection (flipping). So, the pre - image and image are not always in the same position.
• Option C and D: Since rigid motion does not change the size of the figure, the pre - image and image cannot have different sizes (one smaller or larger than the other).

Answer:

B. The preimage and the image have the same measurements.