How does a dilation transformation compare to translations, rotations, and reflections?

Question

A. All transformations move figures across the coordinate plane.
B. Dilation transformations make figures larger; translations shrink figures.
C. All transformations change the size and shape of figures.
D. Dilation transformations are the only ones that do not maintain the same side lengths.

Answer 1

D. Dilation transformations are the only ones that do not maintain the same side lengths.

This is the correct answer because dilation transformations involve resizing a figure, either enlarging or reducing it, which changes the size of the figure but maintains the shape. In contrast, translations, rotations, and reflections (which are known as rigid transformations) preserve both the size and shape of the figure, meaning that the side lengths and angles remain unchanged.