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A trapezoid is a 4 sided quadrilateral that has only one pair of opposite parallel sides of different lengths.
No, shapes with odd numbers of sides do not always lack parallel sides. For example, a trapezoid is a four-sided shape (even number of sides) that has one pair of parallel sides, while an irregular pentagon (five sides) can have no parallel sides at all. The presence of parallel sides depends on the specific properties and measurements of the shape, not solely on whether the number of sides is odd or even.
rhombus
A square
Any polygon with four or more sides can have a pair of parallel sides. It is also possible to to have non-polygonal shapes - eg a cigar-shape - that has parallel sides.