A student asks whether a polygon whose sides are congruent is necessarily a regular polygon and whether a polygon with all angles congruent is necessarily a regular polygon. How do you answer? Choose the correct answer below.

Choose the correct answer:

A. The student is partially correct. A polygon with all angles congruent is a regular polygon. However, a polygon whose sides are congruent is not necessarily a regular polygon.

B. The student is correct. A polygon whose sides are congruent is a regular polygon. A polygon with all angles congruent is a regular polygon.

C. A regular polygon is a polygon in which all the angles are congruent and all the sides are congruent. In general neither condition implies the other, and hence neither is sufficient to describe a regular polygon.

D. The student is partially correct. A polygon whose sides are congruent is a regular polygon. However, a polygon with all angles congruent is not necessarily a regular polygon.