In a parallelogram, both pairs of opposite sides are parallel and equal.
In a trapezoid (UK trapezium), only one set of sides is parallel, and the sides may all have unequal lengths, or two sides may have equal length with equal and opposite angles (this is routinely called an isosceles trapezoid).
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A triangle is not a quadrilateral, but a parallelogram and trapezoid are.
A parallelogram has 2 pairs of parallel sides whereas a trapezoid has only 1 pair of parallel sides
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
A parallelogram has two sets of sides that are parallel to each other. A trapezoid only has one set of sides that are parallel.
A parallelogram is a 4-sided figure in which both sets of opposing sides are parallel and of equal length. A trapezoid is a 4 sided figure in which only one set of opposing sides is parallel and those sides are not in lenght.