Question

At which angle will a hexagon rotate onto itself

Answer 1

A hexagon will rotate onto its self at 120 degrees.

Answer 2

Answer: $60^{\circ}$

Step-by-step 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

$x=\dfrac{360^{\circ}}{6}=60^{\circ}$

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