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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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Q: Why is a trapezoid also a parallelogram?
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