Parallelograms are a special form of quadrilaterals (four sided polygons).
Parallelograms have 2 sets of parallel sides.
So you could say that all parallelograms are quadrilaterals. Or you could say that
all parallelograms are polygons. I'm not sure what you are asking.
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No trapezoids are parallelograms, and no parallelograms are trapezoids.
By definition, all squares are parallelograms. Not all parallelograms, however, are squares. All rectangles and rhombuses are also parallelograms.
No trapezoids are parallelograms, and no parallelograms are trapezoids.
Yes all squares are parallelograms but not all parallelograms are squares.
All parallelograms are quadrilaterals but all quadrilaterals are not necessarily parallelograms