Correct
Parallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).
Lines in space which neither are coplanar nor intersecting are called "skew"
I guess they are. If they're parallel or intersecting, then they're coplanar.
Skew Lines. :)
Yes.
Parallel lines in Euclidean space are always coplanar.
Parallel lines are a specific type of coplanar lines that never intersect and are always the same distance apart. While all parallel lines are coplanar, not all coplanar lines are parallel; coplanar lines can also intersect at some point. Therefore, while the two concepts are related, they are not synonymous.
I guess they are. If they're parallel or intersecting, then they're coplanar.
Skew Lines. :)
Yes
Yes. Although, they could be coincident which may not be covered by either of these descriptions.
are intersecting lines never parallel YES intersecting lines do not have the ability to be parallel
No.
Yes.
are two lines that are not parallel, coplanar, and do not intersect
Parallel lines in Euclidean space are always coplanar.
Parallel lines are a specific type of coplanar lines that never intersect and are always the same distance apart. While all parallel lines are coplanar, not all coplanar lines are parallel; coplanar lines can also intersect at some point. Therefore, while the two concepts are related, they are not synonymous.
the answer would have to be skew
Yes