No but they are both 4 sided quadrilaterals.
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Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
A trapezoid is not a parallelogram, a trapezoid is a polygon. The definition of parallelogram is a shape in which all sides are parallel. In a trapezoid, only one pair of sides is parallel.
All you need is a big enough parallelogram.
trapezoid
No, a parallelogram is not a trapezoid.