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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

The correct response comparing dilation transformations to translations, rotations, and reflections is:

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

Here's an explanation of why this is the correct choice:

  • Dilation changes the size of a figure, either enlarging or reducing it, while altering the lengths of sides proportionally (i.e., maintaining the shape).

  • Translations, rotations, and reflections are all types of rigid transformations that only change the position or orientation of a figure without altering its size or shape. These transformations maintain side lengths and angles.

Thus, dilation is unique among the mentioned transformations in that it changes the size of the figure, not just its position or orientation.