Question

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?.

Answer 1

The correct answer to this question is points C' and D'

If I turn it 60 degrees counterclockwise, the A will be where F is
If i turn it 120 degrees counterclockwise, the A will be where E is..
If you continue this pattern,

The point C will coincide where A is before.
The point D will coincide where B is before.

Answer 2

The correct answer is:

C and D

Explanation:

A regular hexagon has rotational symmetry every 60°. This is because there are 6 congruent angles, and 360/6 = 60°.

Turning this image 60° at a time, 1 turn will put A' on F. 2 turns, 120°, will put A' on E. 3 turns, 180°, will put A' on D. 4 turns, 240°, will put A' on C.

Since B' is right behind A', it will land on D when A' lands on C.