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Non-congruent or incongruent is the opposite of congruent.
cngruent
Congruent means that two figures have the same shape. Non-congruent means they don't. There is no "similarity"; two non-congruent figures can be just about anything, for example a square and a circle.
Yes. It's called a 'special case' of a rectangle.
Two pairs of adjacent sides are congruent. The angles between the non-congruent sides are congruent.