Question

Develop a comparison between dilations and translations, reflections and rotations in terms of any of the following: angles, circles, perpendicular lines, parallel lines, and line segments.

Answer 1

Dilations and translations involve changes in position and size, while reflections and rotations involve changes in orientation. During dilations and reflections, angles, circles, perpendicular lines, parallel lines, and line segments are transformed whereas during translations and rotations, they are preserved.

Step-by-step explanation:

In terms of rotational and translational motion, there are several comparisons that can be made between dilations and translations, reflections and rotations.

1. Dilations and translations: Both dilations and translations involve changes in position, but dilations involve a change in size as well. In dilations, angles, circles, perpendicular lines, parallel lines, and line segments are scaled by a factor without changing their shape.
2. Reflections and rotations: Both reflections and rotations involve changes in orientation, but reflections involve a mirror image while rotations involve turning an object around a fixed point. Angles, circles, perpendicular lines, parallel lines, and line segments are preserved during reflections and rotations.