It is possible for a hexagon to have one pair of parallel sides.
A hexagon can have 0, 1, 2 or 3 pairs of parallel sides, and can have 0, 2, 3, 4, 5, or 6 parallel sides.
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A trapezoid is a quadrilateral with at least one pair of parallel sides. This pair of parallel sides are known as the bases of the trapezoid. The other two sides are called the legs, and they are not parallel to each other. So, a trapezoid has exactly one pair of parallel sides.
trapezoid
rhombus
A square has 2 pairs of opposite parallel sides
A trapezoid has one pair of parallel sides. They are opposite parallel lines of different lengths.