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A quadrilateral
A square is always a parallelogram. Every square is a parallelogram.
Yes. But the fact must be true for EVERY parallelogram.
It can, but it doesn't need to. If it does, then besides being a parallelogram,it's also a rectangle, and it can also be a square but it doesn't need to be.A parallelogram always has two pairs of equal angles.
Parallelogram (if it is a rectangle), Rectangles and Rhombuses (if they are not also a square)