Question

What is the image of N for a 300 degree counterclockwise rotation about the center of the regular hexagon?

A.) G
B.) H
C.) A
D.) E

Answer 1

The answer would be H

........................................

Answer 2

B) H

Explanation:

Notice that a regular hexagon has a six-fold rotational symmetry.

Every time you rotate it about its centre by one-sixth of a circle (60°), you map a vertex onto the one next to it.

If you rotate the hexagon 300° counterclockwise, that is equivalent to rotating it 60° clockwise.

When you rotate the hexagon 60° clockwise (one-sixth of a circle),

Point N maps onto point H.