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: Determine the order of rotational symmetry

The figure can be rotated 3 times to map onto itself, so the order of rotational symmetry $n = 3$.

Step2: Calculate the smallest rotation angle

The formula for the smallest rotation angle $\theta$ for a figure with rotational symmetry of order $n$ is $\theta=\frac{360^{\circ}}{n}$. Substituting $n = 3$ into the formula, we get $\theta=\frac{360^{\circ}}{3}=120^{\circ}$.

Answer:

$120$