If the point (x, y) is rotated around the origin by 90 degrees counterclockwise, then its image will be (-y, x)
We just change the sign of y-coordinate and switch the 2 coordinates
From the given figure we can see
The coordinates of point P are (4, 2)
Since the triangle will rotate around the origin by 90 degrees counterclockwise
Then change the sign of the y-coordinate to be -2, and switch x and y coordinates
The image of P is P', then
P' = (-2, 4)
The answers are
P = (4, 2)
P' = (-2, 4)