Q:

# Is a trapezoid a parallelogram?

A:

Trapezoids are not necessarily parallelograms, as a trapezoid only needs one pair of parallel sides, unlike parallelograms, which need two. However, there are two definitions of what a trapezoid is, and one of them considers parallelograms to be trapezoids.

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In an isosceles trapezoid, the two sides that aren't parallel are the same length and have the same angles relative to the parallel sides. Using an inclusive definition of a trapezoid that allows both pairs of sides to be parallel, rectangles fall under the definition of a trapezoid and are isosceles. The exclusive version of the definition omits these shapes since both pairs of sides are parallel.

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