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

Question

4 years ago

6

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.

Mathematics

2 answers:

Inessa05 [86] · Answer 1 · 2022-02-16T19:51:36+03:00

Inessa05 [86]4 years ago

5 0

<span>C The polygon is regular.
</span>

Fiesta28 [93] · Answer 2 · 2022-02-16T21:04:11+03:00

<h2>Answer:</h2>

Option: C is the correct answer.

C The polygon is regular.

<h2>Step-by-step explanation:</h2>

<u>Regular Polygon--</u>

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