Answer:
The image of point P is (1 , -1)
Explanation:
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 90° clock wise
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180°
∴ Its image is (-x , -y)
* There is no difference between rotating 180° clockwise or
anti-clockwise around the origin
* Lets solve the problem
∵ P = (-1 , -1)
∵ P is rotated about the origin 90° counterclockwise
- Lets use this rule:
If point (x , y) rotated about the origin by angle 90° counterclockwise
then Its image is (-y , x)
∵ x-coordinate of point P = -1
∴ y-coordinate of the image of point P is -1
∵ y-coordinate of point P is -1
∴ x-coordinate of the image of point P is 1
- Lets write the image of point P
∴ The image of point P is (1 , -1)