Question

the figure below has rotational symmetry. is the smallest possible rotation that results in the figure being mapped onto itself. answer attempt 2 out of 2

Explanation:

Step1: Count the number of equal - parts

Count the number of distinct parts of the figure that are repeated around the center. The figure has 12 equal - parts.

Step2: Calculate the angle of rotation

The formula for the smallest angle of rotation $\theta$ 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:

$30$