SOLUTION: 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 m

Algebra ->  Polygons -> SOLUTION: 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 m      Log On


   

Question 1038112: 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?
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angles are 60 degrees, and it will map on to itself six times.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
6 times.
At angles of 60, 120, 180, 240, 300 & 360 degrees.