Answer:
Options B, C and E
Step-by-step explanation:
Let the magnitude of rotational symmetry of the given regular pentagon is angle θ.
Measure of the angle formed by one rotation at the center = [tex]\frac{360}{n}[/tex]
Where n = number of sides of the regular polygon
For a regular pentagon,
Measure of angle θ = [tex]\frac{360}{5}[/tex]
= 72°
Therefore, with a rotation of 72° regular pentagon will overlap itself.
Similarly, when this pentagon is rotated by 144° and 216°, it will overlap itself.
Option (B), (C), and (E) will be the answer.
