Question

Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.

Answer 1

90 degrees means 90 degrees counterclockwise.   So from the fourth quadrant we'll end up in the first quadrant.  X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

Answer: A