the parallel lines never intercept so they do not have any common points.
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Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
how many sets of parallel lines are in a triangle
2 pairs of parallel lines
There are 2 sets of parallel lines.
A dodecahedron need not have any parallel lines.