Regular hexagon ABCDEF rotates 240° counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and B' coincide with in the preimage?
There are 360° around our hexagon. Every 60° turn will turn one vertex to the next. (1/6 of the way around) 240° turns our point 4 times. A' would go to C and B' would go to D. (note the counter-clockwise) Draw yourself a diagram if it helps. *note: You have to assume that the points are named clockwise around the hexagon