Question

34 pointsWhich rotation angles will map a regular pentagon (5 sides) onto itself? Check all that apply.

Answer 1

When you rotate the regular pentagon 72 degree about its centre , it will look exactly the same, because it has rotation symmetry. At 72 degree, the rotation angles will map itself

$\begin{gathered} \text{The number of sides of pentagon is 5. 360 degree is the sum of angles.} \\ Thus,\text{ the angle of rotation is given by} \\ \frac{360}{5}=72 \end{gathered}$

72 degree is the rotation angle which maps regular pentagon onto itself.