Any size square, rectangle, or rhombus.
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Yes, the opposite sides of a parallelogram are congruent.
A parallelogram is a quadrelateral with opposite sides parallel and congruent.
A parallelogram cannot have only two congruent sides, nor only two congruent angles.
Yes. That would make all sides congruent; in this case, your parallelogram would be a rhombus.
Not necessarily.