What is the image of the point (5, 2) after a 90° counterclockwise rotation about the origin?

A $90^\circ$ counterclockwise rotation about the origin sends $(x,y)$ to $(-y,x)$. So $(5,2)$ becomes $(-2,5)$, choice A. A quick check with the figure: the point $(5,2)$ is in the first quadrant, to the right of the origin, and turning it a quarter turn counterclockwise places it above the origin, in the second quadrant. Choice B ($(2,-5)$) is a clockwise rotation, $(y,-x)$. Choice C ($(-5,-2)$) is a $180^\circ$ rotation. Choice D ($(2,5)$) only swaps the coordinates, a reflection over the line $y=x$.