Question

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

Explanation:

Step1: Recall rotational symmetry formula

For a regular polygon with \(n\) sides, the angle of rotational symmetry \(\theta=\frac{360^{\circ}}{n}\).

Step2: Identify number of sides of hexagon

A hexagon has \(n = 6\) sides.

Step3: Calculate the angle of rotation

\(\theta=\frac{360^{\circ}}{6}=60^{\circ}\). Also, multiples of \(60^{\circ}\) will map the hexagon onto itself. Among the given options, \(60^{\circ}\), \(120^{\circ}\), and \(180^{\circ}\) are multiples of \(60^{\circ}\), but the least - angle of rotation for a hexagon to map onto itself is \(60^{\circ}\).

Answer:

A. \(60^{\circ}\)