Answer:The image of point P is (1 , -1)Step-by-step 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)