Question

44 pointsWhich rotation angles will map a regular nonagon (9 sides) onto itself? Check all that apply.

Answer 1

To know the minimum rotation we have to do to map the figure onto itself, we just divide 360° by the total number of sides

`(360)/(9)=40`

So, every rotation that can be divide by 40 would be the answer, let's divide

`\begin{gathered} (60)/(40)=1.5 \\ (160)/(40)=4 \\ (280)/(40)=7 \\ (100)/(40)=2.5 \end{gathered}`

Therefore, the right answers are 160° and 280°.