Question

what is the order of rotational symmetry and the angle of rotation for the given figure? order = 6, angle of rotation = 60° order = 6, angle of rotation = 120° order = 120°, angle of rotation = 6 order = 60°, angle of rotation = 6

Explanation:

Step1: Recall the formula for order of rotational symmetry

For a regular polygon with \(n\) sides, the order of rotational symmetry is \(n\). The given figure is a regular hexagon (\(n = 6\)).

Step2: Calculate the angle of rotation

The formula for the angle of rotation \(\theta=\frac{360^{\circ}}{n}\). Substituting \(n = 6\), we get \(\theta=\frac{360^{\circ}}{6}=60^{\circ}\)

Answer:

Order \( = 6\), angle of rotation \(=60^{\circ}\) (the first option)