Question

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

A. 180
B. 90
C. 45
D. 60

Answer 1

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

Answer 2

D. 60°

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
`(1)/(6)`th of a full-circle turn.

A circle has
`360^(\circ)` and
`(1)/(6)* 360^(\circ)=60^(\circ)`

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