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An n-sided polygon rotates 360° about its center, P. The image coincides with its preimage n times during the rotation. What can you conclude about this polygon?


A The polygon is a rectangle.



B The polygon is centered at the origin of a coordinate plane.



C The polygon is regular.



D The polygon is a parallelogram.

Verified Answer :

C The polygon is regular.

Answer:

Option: C is the correct answer.

         C The polygon is regular.

Step-by-step explanation:

Regular Polygon--

A polygon is said to be regular if each of it's side are of equal length and each of it's angle are of equal measure.

i.e. it is a equilateral and equiangular.

Hence, the polygon with n sides has rotational symmetry of:  \(\dfrac{360}{n}\)

i.e. If the n-sided polygon rotates 360° about its center, P. The image coincides with its preimage n times during the rotation.

           Hence, the answer is:

                  option: C

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