All 4 sided shapes are quadrilaterals.
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All rectangles are parallelograms, so yes there are some.
No. Only some parallelograms are rectangles. But all rectangles are parallelograms.
Some parallelograms are rectangles; all rectangles are parallelograms.
Yes, they are called squares. Squares are a subset of rectangles.
squares are rectangles because they are both four sided but rectangles are not squares because a rectangle doesn't have equal sides and squares have equal sides