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All four angles must be 90 degrees and the two parallel sides must have different dimension from the other two.
No.
There reason is because a rhombus must have two sets of parallel sides and a square has just that! It is a rectangle because it has four right angles as any rectangle must have!
By definitions: two levels of them. If it is has a right angle, it must be 90 degrees. If it is a rectangle it must have right angles, otherwise it is not a rectangle.
Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!