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Two parallel lines are coplanar?
Not necessarily. The Tropic of Cancer, and the Tropic of Capricorn, imaginary lines on the surface of the earth (an approximate sphere), are parallel but they are not coplanar. You could draw similar lnes on a proper sphere that were parallel but not coplanar.
Are non-coplanar lines skew?
No, non-coplanar lines are not skew. Skew lines are non-coplanar lines that do not intersect and are not parallel. Non-coplanar lines are simply lines that do not lie in the same plane. Skew lines, on the other hand, are non-coplanar and not parallel, making them a specific subset of non-coplanar lines.
If two lines are parallel then they are coplanar?
true
What is a counterexample for three coplanar lines always make a triangle?
If at least two of the three lines are parallel, the three lines will not form a triangle.
What are two coplanar lines that never intersect called?
Two coplanar lines that never intersect are called called parallel lines.
