Question

what is the order of rotational symmetry and the angle of rotation for a regular hexagon (6 sides)? order = 6, angle of rotation = 360° order = 360, angle of rotation = 6° order = 6, angle of rotation = 60° order = 60, angle of rotation = 6°

Explanation:

Step1: Define order of rotational symmetry

The order of rotational symmetry of a regular polygon is equal to the number of its sides. A regular hexagon has 6 sides, so the order of rotational symmetry is 6.

Step2: Calculate angle of rotation

The formula to find the angle of rotation $\theta$ of a regular polygon is $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides. For a hexagon, $n = 6$, so $\theta=\frac{360^{\circ}}{6}=60^{\circ}$.

Answer:

Order = 6, angle of rotation = 60°