Question

If P = (3,2), find the image

of P under the following rotation.
270° counterclockwise about the origin
([?], [])

Answer 1

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

`(x,y)\to (y,-x)`

Using this rule, we get

`P(3,2)\to P'(2,-3)`

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).