Question

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

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).