At which angle will a hexagon rotate onto itself

Question

asked Feb 26, 2018 31.1k views

2 Answers

Kajol · Answer 1 · 2018-03-05T07:59:23+0000

Answer:
$60^(\circ)$

Explanation:

A shape has a rotational symmetry if it moves onto itself under rotation of some angle about its center.

We know that a hexagon is a regular polygon having all its sides and all its angles are equal.

For a regular polygon , the order of rotation of the figure is same as the number of sides .

When we rotate hexagon up to 360° , we will get 6 times the figure such that it looks exactly the same as the original figure.

Let x be the angle at which hexagon rotate onto itself, then we have

$x=(360^(\circ))/(6)=60^(\circ)$

Hence, a hexagon will rotate onto itself at every
$60^(\circ)$ .