Question

at which angle will the hexagon rotate so that it maps onto itself? 60° 90° 120° 180°

Explanation:

Step1: Recall rotational symmetry formula

The formula for the angle of rotational symmetry of a regular polygon is $\frac{360^{\circ}}{n}$, where $n$ is the number of sides.

Step2: Identify number of sides of hexagon

A hexagon has $n = 6$ sides.

Step3: Calculate the angle

$\frac{360^{\circ}}{6}=60^{\circ}$. Also, multiples of this angle will also map the hexagon onto itself. $120^{\circ}=2\times60^{\circ}$ and $180^{\circ} = 3\times60^{\circ}$ are also angles of rotational - symmetry for a hexagon.

Answer:

A. $60^{\circ}$, C. $120^{\circ}$, D. $180^{\circ}$