First of all, a trapezoid is not always a parallelogram. Did you mean the reverse: "Why is a parallelogram also a trapezoid"? If so, this depends upon your definition of a trapezoid and parallelogram.
Some people define a trapezoid as a quadrilateral with exactly one pair of parallel sides, and a parallelogram as a quadrilateral with exactly two pairs of parallel sides.
According to these definitions, a trapezoid can *NEVER* be a parallelogram, so your question is meaningless.
However, others might define a trapezoid as a quadrilateral with one *or two* pairs of parallel sides. If you use this definition, then all parallelograms are also trapezoids, much in the same manner that all squares are also rectangles.
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ANSWER: A parallelogram (It can also be called a trapezoid) ... but a trapezoid is not a parallelogram!
A trapezoid is sometimes a parallelogram. If the trapezoid has two pairs of parallel sides, it will also be a parallelogram. However, if the trapezoid does not have two pairs of parallel sides, it will not be a parallelogram.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
A trapezoid can also be a parallelogram if its non-parallel sides are of equal length.
trapezoid