The parallel sides of a polygon are sides that are segments of parallel lines. A polygon need not have any parallel lines. A triangle, for example, is a polygon that cannot have parallel lines.
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There can be no convex polygon with three parallel sides. There are concave polygons with 6 or more sides that have three parallel lines.
A four-sided polygon with opposite sides parallel could be a square, a rectangle, or a rhombus.If it has one pair of opposite, parallel sides, then it is a trapezoid. If it has two pairs of opposite, parallel sides, then it is a parallelogram.
rhombus
A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any.
A polygon with 4 or more sides can meet these requirements.