are two lines that are not parallel, coplanar, and do not intersect
lines
Coplanar lines that do not intersect are called parallel lines.
parallel lines
parallel lines
True
Lines
are two lines that are not parallel, coplanar, and do not intersect
lines
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.
Coplanar lines that do not intersect are called parallel lines.
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.
parallel lines
If rays, parallel ones. If segments there are many more options because you can have a segment that is not long enough to reach the point of intersection.
Parallel lines will be co-planar.
No, not always. Skew lines are never coplanar, but parallel lines are.