An hexagon has 6 sides whereas a trapezoid only has 4 sides.
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Half of a hexagon is a trapezoid.
A hexagon has six sides, a trapezium has 4.
The difference between a trapezoid and a parallelogram is very simple: A trapezoid has exactly one pair of parallel sides and a parallelogram has exactly two pairs of parallel sides.
The non-parallel line of an isosceles trapezium are equal.