# Rotations

- Author:
- Jim Wysocki, Shannon Rush

- Topic:
- Rotation

## Summary

As you changed the angle of rotation and the vertices of the triangle, what relationships did you observe between the points, segments and angle measures of the original and the imagine created through a rotation?

For a 90˚ counterclockwise rotation, the rule for changing each point is

For a 180˚ counterclockwise rotation, the rule for changing each point is

For a 270˚ counterclockwise rotation, the rule for changing each point is

## Summary

What did you observe as you moved the center of rotation? Are the effects of the rotation on the points, segments, and angle measures the same or different when the center of rotation is not at the origin? Explain fully.

What angle of rotation was used to move ABCD to A'B'C'D'?

## Can you do it on your own?

## Challenge!

## Rotations and Reflections

Summarize what you noticed about composition of rotations and reflections. Are there any interesting combinations? Does the order matter? (In other words, will the same final image be created no matter what order you do the two transformations?)

## Rotations and Translations

Summarize what you noticed about composition of rotations and translations. Are there any interesting combinations? Does the order matter? (In other words, will the same final image be created no matter what order you do the two transformations?)