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Yeah, parralell, perpendicular, and intersecting, are the only one I could find... There are also convergent and divergent lines (lines that are not parallel converge/diverge at different points).
Perpendicular lines are a subset of intersecting lines. The only difference is that perpendicular lines intersect at an angle of 90o, whereas intersecting lines can converge at any angle.
Two lines in two intersecting planes can be parallel, intersecting, or skew.
Intersecting lines that form a right angle are perpendicular lines.
Two or more lines that meet at a point are called intersecting lines.