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A hexagon.
A triangle. It has only three sides!
A regular hexagon has three sets (pairs) of parallel line segments that form it.
A regular hexagon has three pairs of parallel sides. An irregular hexagon can have two, one or none.
A 4-sided polygon with four or three sides of different lengths can readily be constructed so that no two sides are parallel. The shapes so obtained will not have an axis of symmetry. However, a kite is a quadrilateral having two pairs of adjacent sides of equal length but does not have any parallel sides. It is symmetrical about its long axis.