Yes they are.
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No. Of all possible quadrilaterals, only a small, virtually negligible fraction of them are parallelograms.
They are all rectangles (or 2 squares and 4 rectangles).They are all rectangles (or 2 squares and 4 rectangles).They are all rectangles (or 2 squares and 4 rectangles).They are all rectangles (or 2 squares and 4 rectangles).
No but all squares are a rectangles
No. Only some parallelograms are rectangles. But all rectangles are parallelograms.
No, but all squares are all rectangles.