Any regular polygon with an even number of sides must have parallel sides.
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Regular polygons with even sides if there are 6 or more of them; selected irregular polygons with seven or more odd numbers of sides.
Infinitely many. Every regular polygon with 2n sides has n pairs of parallel sides. Then there are irregular polygons which can have parallel sides. And there are also irregular shapes which have parallel sides.
A rectangle, and selected irregular polygons of 5 or more sides. Also, all regular polygons on 4n sides where n is an integer.
Yes. A triangle is a type of polygon and it has NO parallel sides!!!!!!!
Infinitely many. Polygons with 6 or more sides can have 3 pairs of parallel lines. Polygons with 7 or more sides can have a set of three parallel lines.