Every 4-sided polygon in which the opposite sides are parallel is a parallelogram.
Opposite sides are equal too, but it's not necessary to make that an explicit requirement,
because if both pairs of opposite sides are parallel, then they also wind up being equal.
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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.
Some parallelograms could be quadrilaterals but all parallelograms are polygons
Parallelograms have only four sides. Polygons with eight sides are octagons.
Quadrilaterals- Squares, Rectangles, Rhomboids, Parallelograms, kites, chevrons, trapezoids, and irregular quadrilaterals.
They are all plane figures bound by a polygonal path. This means that they are all polygons.