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Not necessarily. All parallelograms are quadrilaterals but not all quadrilaterals are parallelograms. Parallelograms are more specific instances of quadrilaterals. Its like saying all squares are rectangles but not all rectangles are squares.
They are quadrilaterals which have two pairs of parallel sides.
All parallelograms are quadrilaterals, though not all quadrilaterals are parallelograms. Both have 4 sides and 4 corners. A quadrilateral can have sides and corners of different sizes, whereas a parallelogram must have opposite sides that are parallel.
All parallelograms are in the class of 4 sided quadrilaterals.
Squares, parallelograms, rhombuses, and trapezoids are quadrilaterals that are not rectangles.