180 degrees rotation
Firstly, we need to identify the coordinates of both points, so as to be able to determine the rotation relationship
From what we have;
A is (3,-4) while A' is (-3,4)
So, the rotation relationship needed is the one that turns (x,y) to (-x,-y)
This kind of rotation relationship is 180 degrees clockwise or counter-clockwise rotation
In essence, we simply select 180 degrees rotation as the correct answer choice