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Angle of Rotation

Angle of Rotation

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

The angle of rotation is the measure of the degree through which a figure is rotated about a fixed point, called the center of rotation.

Key points:

  • It tells how far and in what direction the figure is turned.

  • Rotation is measured in degrees, usually from 0° to 360°.

  • A positive angle means a counterclockwise rotation.

  • A negative angle means a clockwise rotation.

Example:

If a triangle is rotated 90° counterclockwise about the origin, then the angle of rotation is +90°.


Triangle ABC and its image after a 90 degree rotation. The center of rotation is at the origin, and a dashed, partial circle measure 90 degrees is drawn from point B to point B prime.

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