# Rotation: 90 Degrees Clockwise

How to find the image under the rotation of 90 degrees clockwise about the origin: formula, 2 examples, and their solutions.

## Formula

The image of a point (x, y)

under the rotation of

90º clockwise about the origin is

(y, -x).

Switch x and y.

and change the sign of x.

## Example(3, 2), Rotation: 90º Clockwise

The image of (3, 2) is

under the rotation of

90º clockwise about the origin.

Then the image point is,

switch x and y,

(2, 3),

and change the sign of x,

(2, -3).

So (2, -3) is the answer.

This is the graph of (3, 2)

and its image

under the rotation

90º clockwise about the origin:

(2, -3).

## Example(-4, -5), Rotation: 90º Clockwise

The image of (-4, -5) is

under the rotation of

90º clockwise about the origin.

Then the image point is,

switch x and y,

(-5, -4),

and change the sign of x,

(-5, 4).

so (-5, 4) is the answer.

This is the graph of (-4, -5)

and its image

under the rotation

90º clockwise about the origin:

(-5, 4).