They are both quadrilaterals.
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No, a parallelogram is not a trapezoid.
No, a parallelogram cannot be a trapezium.
A parallelogram has 2 pairs of opp sides parallel but a trapezium has only 1 pair of opp sides parallel....a trapezium cannot be a paralellogram but a parallelogram can be a trapezium.
No
no, a parallelogram has two pairs of parallel sides, a trapezium has exactly one pair of paralell sides