Question

definition of similar figures quick check
how does a dilation transformation compare to translations, rotations, and reflections? (1 point)
all transformations change the size and shape of figures.
all transformations move figures across the coordinate plane.
dilation transformations make figures larger; translations shrink figures.
dilation transformations are the only ones that do not maintain the same side lengths.

Explanation:

1. Analyze the first option: Translations, rotations, and reflections (rigid transformations) do not change the size or shape of figures, only dilation can change size. So this is wrong.
2. Analyze the second option: Dilation does not move figures across the coordinate plane, it changes their size. So this is wrong.
3. Analyze the third option: Dilation can make figures larger or smaller, and translations do not shrink figures (they move them). So this is wrong.
4. Analyze the fourth option: Rigid transformations (translation, rotation, reflection) preserve side lengths, while dilation (a non - rigid transformation) changes side lengths (scales them). So this is correct.

Answer:

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