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

Question

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

Answer 1

The correct comparison regarding dilation transformations and how they relate to translations, rotations, and reflections is:

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

Here's a brief explanation of each option:

• A is incorrect because translations, rotations, and reflections preserve the size and shape of figures, while dilations change the size.
• B is incorrect because dilation changes the size of figures, while translations, rotations, and reflections move them without changing their size.
• D is also incorrect because translations do not change the size of figures at all; instead, they slide them across the plane.

Thus, C is the only accurate statement regarding how dilations differ from other transformations.