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, M, N, O 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 45, degreeor 180, degree.
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 triangle, O, A, R 60, degree about point left parenthesis, minus, 2, comma, minus, 3, right parenthesis.
The center of rotation is left parenthesis, minus, 2, comma, minus, 3, right parenthesis.
Rotation by 60, degree moves each point about left parenthesis, minus, 2, comma, minus, 3, right parenthesis in a counter-clockwise direction. The rotation maps triangle, O, A, R onto the triangle below.
Want to learn more about performing rotations? Check out this video.

Practice

Problem 1
Use the "Rotate" tool to find the image of start overline, E, Z, end overline when rotated 270, degree about the origin.
The direction of a rotation by a positive angle is counter-clockwise.

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