A irregular polygon will not have any parallel lines. :)
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Not true. A rhombus is an irregular polygon and it has two pairs of parallel line!
An irregular pentagon can have parallel lines.
However, a triangle or a conic section cannot.
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a triangle
No, because a rhombus is a shape and a parallel is not a shape it is a term for two lines that go across an object and the two lines never make contact with each other, once again it is not a shape. So no they are not the same.
A trapezoid has two parallel lines.
Any shape that contains a section of a plane can have an infinite number of parallel lines in it.
A square or rectangle has two sets of parallel lines. Stop signs technically have 4 short sets o parallel lines. Hexagon could have 3 sets, etc. All of which are polygons, though not all polygons have parallel lines.