# Rotations review

Review the basics of rotations, and then perform some rotations.

### What is a rotation?

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

This rotation maps onto the blue triangle.

The result is a new figure, called the image. The image is congruent to the original figure.

*Want to learn more about different types of transformations? Check out this video.*

## Performing rotations

Although a figure can be rotated any number of degrees, the rotation will usually be a common angle such as or .

If the number of degrees are

*positive*, the figure will rotate counter-clockwise.If the number of degrees are

*negative*, the figure will rotate clockwise.The figure can rotate around any given point.

**Example:**

Rotate about point .

The center of rotation is .

Rotation by moves each point about in a counter-clockwise direction. The rotation maps onto the triangle below.

*Want to learn more about performing rotations? Check out this video.*