Question

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?

Answer 1

Any rotaion by multiples of 360/6=60

about the center maps the hexagon onto intself.

Explanation:

Sample Answer

Answer 2

6

Explanation:

A regular hexagon has six side and it is rotated counterclockwise about its center.

rotation is 0° < x ≤ 360

it will map on itself at the multiples of the angle = 360 / 6 = 60°

which are 60°, 120°,180°, 240°, 300° and 360°

the number of different angles = 6