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).