No,
or at least not always.
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Square, or a rectangle. * * * * * Since it is a REGULAR polygon, it cannot be a rectangle. So the only answer is a square.
A regular polygon is a polygon in which all sides and angles are congruent, so a rectangle is a regular polygon when it is a square: when all sides are equal.
"Square. Congruent means "the same". A rectangle with 4 sides that are the same is a square." Plus, it is not a rectangle. It is a polygon. The question should have been stated: What is a polygon with congruent sides?
A square or rectangle
All of them.