Answer: C) Rotate 144 degrees about the point (0,-2)
======================================================
Step-by-step explanation:
We can rotate clockwise or counterclockwise to get the same effect.
One way to picture this is to imagine two copies of that pentagon shown. Let's say one is blue and the other is red. Think of it as a copy/paste. If we keep the blue one the same, but rotated the red one 144 degrees (either clockwise or counterclockwise), then the blue and red figures will match up perfectly. The red will overlap the blue.
Why 144? Because we divide 360 degrees over n = 5 which is the number of sides. So 360/n = 360/5 = 72 is the angle of rotation. Each rotation of 72 degrees in either direction has the red and blue figures matching up. Two rotations lead to 2*72 = 144. So you can replace '144' with any multiple of 72 as long as its between 0 and 360.
The center of rotation must be the center of the pentagon. Any other center of rotation will have the red and blue figure likely not matching.