Question

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

Explanation:

Step1: Recall rotation - symmetry formula

For a regular polygon with \(n\) sides, the smallest angle of rotation \(\theta\) that maps the polygon onto itself is given by \(\theta=\frac{360^{\circ}}{n}\).

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:

40°