A rhombus
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Regular * * * * * Equilateral. It is regular only if all its angles are also congruent. A rhombus is NOT a regular polygon, a square is the only regular quadrilateral.
A quadrilateral is a4-sided figure with no congruent sides.
Regular polygons have congruent sides and angles
a regular polygon
I am not sure about "perfect", but in any case it's a regular polygon. That means that all of its sides are congruent, and all of its angles are congruent.