A trapezoid is a four-sided figure with two opposite sides parallel. A rectangle (and also a parallelogram) is a trapezoid but BOTH pairs of opposite sides are parallel.
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The fact that both sets of opposite sides are parallel.
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A trapezoid is a special case of a quadrilateral which has 1 pair of parallel sides.
A parallelogram with a right angle is a rectangle.
A trapezoid is a quadrilateral which must have one pair of parallel sides. If the other pair of sides is also parallel then it is a parallelogram.