What Is a Rotation?

What Is a Rotation?

A rotation turns a shape.

A rotation is a turn of a shape about a point (called the center of rotation).

A translation is a type of transformation.

A Real Example of a Rotation

It is easier to understand rotation with an example.

The diagram below shows a rotation of a shape. The shape before the rotation (called the object) is in light blue. The shape after the rotation (called the image) is in dark blue:

In this example, the shape has rotated around a center of rotation (shown as a red cross) at the origin.

Properties of a Rotation

  • All points move in a circle around the center of rotation.

  • Each point in the image is the same distance from the center of rotation as the object.

  • The image is the same size as the object.

See Also

What is geometry? What are transformations?