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:
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]P(3,2)\to P'(2,-3)[/tex]
Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).
