Question

What is the minimum number of degrees that a regular hexagon can be rotated before it carries onto itself?

Answer 1

Answer:

D.  60°

Step-by-step explanation:

A regular hexagon has 6 equal sides and 6 equal angles.  

To rotate the Octagon onto itself, we have to rotate each of those sides to an adjacent side. This happens when the angle of turn is $\dfrac{1}{6}$th of a full-circle turn.

A circle has $360^{\circ}$ and  $\dfrac{1}{6}\times 360^{\circ}=60^{\circ}$

A 60° rotation clockwise or counterclockwise puts each of the edges over the position where an adjacent edge was located.

Answer 2

The minimum number of degrees that a regular hexagon can be rotated before it carries onto itself is 60 degrees (D).