Q: If two lines are coplanar then they must touch?

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false

yes, two lines can be coplanar.

CorrectParallel 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"

No. If two lines intersect, then they're definitely coplanar.

No, not always. Skew lines are never coplanar, but parallel lines are.

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false

yes, two lines can be coplanar.

True

...must be coplanar.

are two lines that are not parallel, coplanar, and do not intersect

CorrectParallel 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"

Coplanar lines that do not intersect (have no common point) are parallel.Two objects are coplanar if they both lie in the same plane, they must either intersect or be parallel.

No. If two lines intersect, then they're definitely coplanar.

No, not always. Skew lines are never coplanar, but parallel lines are.

Two coplanar lines that never intersect are called called parallel lines.

Skew. * * * * * FALSE. In fact, if they are skew, they must intersect. They have to be parallel for them not to intersect.

Two lines that are perpendicular to the same plane are coplanar. This means that they lay on the same plane.