This is a rather vague question, and I'm not exactly sure what you are trying to ask, but if I guessed correctly..... Congruent means that everything is equal in comparison. There are many possible rectangle dimensions, so they all are not congruent. I hope this is what you want to ask.
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Yes, into infinitely many sets of congruent rectangles. In fact, all plane shapes - including totally random ones - can be divided into sets of congruent shapes.
yes rectangles are congruent.
Yes.
Because there opposite sides are congruent. And all squares are rectangles, but not all rectangles are squares!
This depends on if the question is asking for each pair of opposite rectangles must be congruent, then it is a rectangular prism.If all of the rectangles are congruent, then it must be a Cube. A square is a special case of a rectangle, and all 6 sides being squares makes a cube and they are all congruent.