Question

this image has rotational symmetry. what is the smallest number of degrees you need to rotate the image for it to look the same?

Explanation:

Step1: Recall rotational symmetry of snowflake

A snowflake (hexagonal shape) has 6 - fold rotational symmetry. The formula for the smallest angle of rotational symmetry is $\frac{360^{\circ}}{n}$, where $n$ is the number of times the figure maps onto itself during a full rotation (360°). For a snowflake, $n = 6$.

Step2: Calculate the angle

Using the formula $\theta=\frac{360^{\circ}}{n}$, substitute $n = 6$. So $\theta=\frac{360^{\circ}}{6}=60^{\circ}$.

Answer:

$60^{\circ}$