Final answer:
No, a composition of rigid motions cannot map a short rectangular bench onto a long rectangular bench because they have different dimensions. Rigid motions only change position, not size.
Step-by-step explanation:
Regina is asking if it is possible for a composition of rigid motions to map a short rectangular bench onto a long rectangular bench. In geometry, rigid motions include translations, rotations, and reflections; they are transformations that preserve shape and size but change the position of a figure. Unfortunately, since a short and a long bench have different dimensions, no composition of rigid motions would make one congruent to the other. For two shapes to be mapped onto each other using rigid motions, they must be congruent, meaning they are the same shape and size. In this case, changing the location or orientation of the short bench cannot compensate for its different size relative to the long bench.