A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 360°. At how many different angles will the hexagon map onto itself?
The central angle of a hexagon is : Ф = 360° : 6 = 60° The hexagon will map onto itself 6 times. It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.
