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 MNO\triangle{MNO} 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 4545^\circor 180180^\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.
Rotate OAR\triangle{OAR} 6060^\circ about point (2,3)(-2,-3).
The center of rotation is (2,3)(-2,-3).
Rotation by 6060^\circ moves each point about (2,3)(-2,-3) in a counter-clockwise direction. The rotation maps OAR\triangle{OAR} onto the triangle below.
Want to learn more about performing rotations? Check out this video.


Want to try more problems like this? Check out this exercise.