Question

How does a dilation transformation compare to translations, rotations, and reflections?
A. Dilation transformations are the only ones that do not maintain the same side lengths.
B. All transformations move figures across the coordinate plane.
C. Dilation transformations make figures larger, translations shrink figures.
D. All transformations change the size and shape of figures.

Answer 1

The correct answer is:

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

Here's a brief explanation of each option:

- **A** is true because dilation transformations change the size of figures, enlarging or shrinking them while preserving the shape. In contrast, translations, rotations, and reflections maintain the original size and do not affect side lengths.

- **B** is false because while translations, rotations, and reflections do move figures across the coordinate plane, dilation transformations change the size but do not necessarily move the figures in the same way.

- **C** is incorrect. Dilation transformations either enlarge or shrink figures (depending on the scale factor), but translations do not change the size—they merely move figures to a different location.

- **D** is false because, while dilations change the size of figures, translations, rotations, and reflections do not change the size or shape. They maintain the original dimensions.

Thus, option A accurately explains how dilation transformations are different from translations, rotations, and reflections.