Symmetry Quick Check 2 of 52 of 5 Items Question What is the smallest degree measure for a regular nonagon to rotate onto itself?(1 point) Responses 30° 30 degrees 60° 60 degrees 80° 80 degrees 40° 40 degrees Skip to navigation page 16 of 16

Answer 1

To find the smallest degree measure for a regular nonagon (a polygon with 9 sides) to rotate onto itself, you can use the formula for the angle of rotation that maps the polygon onto itself. This angle is given by:

\[ \text{Rotation Angle} = \frac{360°}{n} \]

where \( n \) is the number of sides.

For a nonagon, \( n = 9 \):

\[ \text{Rotation Angle} = \frac{360°}{9} = 40° \]

Therefore, the smallest degree measure for a regular nonagon to rotate onto itself is 40 degrees.