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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.
2 sides
A rectangle is considered to be an irregular polygon. This is because, in a rectangle, the sides need not necessarily all be congruent, and regular polygons must have all sides be congruent.
A rhombus has all sides congruent with no sides *necessarily* perpendicular. Normally a square is considered a kind of rhombus. So the answer would be "non-square rhombus."
Non-congruent or incongruent is the opposite of congruent.