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Center of Rotation

Center 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 center of rotation is the fixed point around which a figure is rotated.

Key Points:

  • It does not move during the rotation.

  • Every point in the figure moves in a circular arc around this center.

  • All points in the figure stay the same distance from the center of rotation during the movement.

Example:

If you rotate a triangle 90° about the origin, the origin is the center of rotation—every point on the triangle turns around that fixed point.


Triangle ABC and its image after a rotation about the origin in the coordinate plane. A point with an arrow pointing to it is at the origin.

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