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: Analyze the snowflake

A snowflake (hexagonal shape) has 6 equal - sided rotational symmetries. The formula for the smallest angle of rotational symmetry of a regular \(n\) - sided polygon is \(\frac{360^{\circ}}{n}\). For a snowflake, \(n = 6\).

Step2: Calculate the angle

Using the formula \(\theta=\frac{360^{\circ}}{n}\), substitute \(n = 6\) into the formula. We get \(\theta=\frac{360^{\circ}}{6}=60^{\circ}\).

Answer:

\(60\)