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.

Option: C is the correct answer.

         C The polygon is regular.

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:  

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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