Yes.
A quadrilateral is any plane figure bounded by four straight lines.
A parallelogram has both pairs of opposite sides parallel and is therefore a special kind of quadrilateral.
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-- A parallelogram is always a quadrilateral. -- A quadrilateral is sometimes a parallelogram.
In this case, the quadrilateral is sometimes a parallelogram.
A parallelogram must have 4 sides and so it must be a quadrilateral. However, the sides of a quadrilateral need not be parallel so a quadrilateral need not be a parallelogram.
always
Trapezoid, Parallelogram, Rhombus.