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 $\triangle{MNO}$ onto the blue triangle.
The result is a new figure, called the image. The image is congruent to the original figure.

Performing rotations

Although a figure can be rotated any number of degrees, the rotation will usually be a common angle such as $45^\circ$or $180^\circ$.
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.
Eksempel:
Rotate $\triangle{OAR}$ $60^\circ$ about point $(-2,-3)$.
The center of rotation is $(-2,-3)$.
Rotation by $60^\circ$ moves each point about $(-2,-3)$ in a counter-clockwise direction. The rotation maps $\triangle{OAR}$ onto the triangle below.