Question

At wch angle will the hexagon rotate onto itself? 60° 90° 120° 180°

Answer 1

"At 60 degree angle will the hexagon rotate onto itself.

Explanation:

When a hexagon maps onto itself, their vertices must map to vertices and sides to sides. Please look at the picture attached: the nearest vertex for the Al is A2.

There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°.

Each subsequent rotation by 60° also maps a hexagon onto itself. There are 5 such rotations: by 60°, 120°, 180°, 240° and 300°"