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The main difference between a parallelogram and a trapezoid is the number of parallel sides they have:
Parallelogram:
A quadrilateral with two pairs of parallel sides. Opposite sides are also equal in length, and opposite angles are equal in measure. Rectangles, rhombuses, and squares are all special types of parallelograms.
Trapezoid:
A quadrilateral with one pair of parallel sides. The other pair of sides are not parallel. In North American English, it's called a trapezoid, while in British English, it's called a trapezium.
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