A trapezoid and rectangle have a number of similarities:
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A trapezoid and a rectangle are both polygons.
'A square is a type of rectangle, a rectangle is a type of paralellogram, a paralellogram is a type of trapezoid, a trapezoid is a type of quadrilateral.
A rectangle is never a trapezoid because a rectangle does not have exactly 1 pair of parallel sides
A rectangle is not a trapezoid. A trapezoid is defined as a quadrilateral with one pair of parallel sides and another pair that is not parallel. That description cannot be applied to a rectangle. It is only if you define a trapezoid as a quadrilateral with one pair of parallel sides and say nothing at all about the other sides, can a rectangle be said to be a trapezoid. But you would have to be mathematically incompetent to use that as a definition of a trapezoid.
a trapezoid has 1 pair of parallel lines and a rectangle has 2 parallel lines