Question

complete the following sentence. the figure below has rotational symmetry. is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Count the number of equal - parts.

The figure has 12 equal - parts.

Step2: Calculate the angle of rotation.

The formula for the smallest angle of rotation for a figure with \(n\) equal parts is \(\theta=\frac{360^{\circ}}{n}\). Here \(n = 12\), so \(\theta=\frac{360^{\circ}}{12}=30^{\circ}\).

Answer:

The figure below has rotational symmetry. \(30^{\circ}\) is the smallest possible rotation that results in the figure being mapped onto itself.