Question

At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

Answer 1

360°/6

= 60

ANSWER:

60°

Answer 2

The angle at which the hexagon rotate onto itself is:

60°

Explanation:

Angle of rotational symmetry is the smallest measure of the angle by which a figure can be rotated such that the figure coincides with the original figure.

i.e. the figure on rotation can be mapped onto itself.

We know that in a case of a regular polygon the angle of rotational symmetry is:

`(360)/(n)\ degree`

where n represents the number of sides of a polygon.

Here we are asked to find the angle of rotational symmetry of hexagon.

i.e. n=6 (Since there are six sides in a hexagon)

Hence, the angle of rotation is:

`(360)/(6)=60\ degree`