Question

symmetry quick check
what is the smallest degree measure for a regular nonagon to rotate onto itself? (1 point)
40°
80°
60°
30°

Explanation:

Step1: Recall rotation formula for regular polygons

The formula for the smallest angle of rotation $\theta$ for a regular polygon to map onto itself is $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides of the polygon.

Step2: Identify number of sides of non - agon

A non - agon has $n = 9$ sides.

Step3: Calculate the angle of rotation

Substitute $n = 9$ into the formula: $\theta=\frac{360^{\circ}}{9}=40^{\circ}$.

Answer:

A. $40^{\circ}$