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 is divided into 10 equal - parts.

Step2: Calculate the angle of the smallest rotation

The full - circle is 360°. For a figure with \(n\) equal parts, the smallest rotation angle \(\theta=\frac{360^{\circ}}{n}\). Here \(n = 10\), so \(\theta=\frac{360^{\circ}}{10}=36^{\circ}\).

Answer:

36