Rotation of 90 Degrees Clockwise

Rotation of 90 Degrees Clockwise

How to solve the rotation of 90 degrees clockwise problems: formula, example, and its solution.

Formula

The image of a point (x, y), whose image is under a rotation of 90 degrees clockwise about the origin, is (y, -x).

The image of a point (x, y),
whose image is under a rotation of 90 degrees
clockwise about the origin,
is (y, -x).

Example

Triangle ABC has vertices A(1, 2), B(5, 4), and C(3, 1). Its image is under a rotation of 90 degrees clockwise about the origin. Find the coordinates of the vertices of the image.

Rotation of 90º clockwise:
(x, y) → (y, -x)