Then they are not parallel, nor skew (in 3D).
FALSE!!
Two lines intersect at a point
Two lines that do not intersect on the same plane are Parallel lines.
are two lines that are not parallel, coplanar, and do not intersect
If two different lines intersect, they will always intersect at one point.
A vertex? In non-euclidean geometry: A two distinct parallel lines intersect in the "Infinity zone"
yes
False. If two lines intersect, they do so at exactly one point, provided they are not parallel. In Euclidean geometry, two distinct lines can either intersect at a single point or be parallel and never intersect at all.
2 lines the same width apart are parallel.
FALSE!!
If two distinct lines intersect, it is not necessarily true that they are perpendicular to each other. While intersecting lines can form various angles, including right angles, they can also intersect at acute or obtuse angles. Additionally, it is not true that the lines must lie on the same plane; in three-dimensional space, lines can intersect at various angles without being coplanar. Thus, the only certainty with two distinct intersecting lines is that they meet at a single point.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Yes. Any two distinct lines of longitude, for example, meet at two points - the poles. On a plane, though, two points define a unique line. So if two lines intersect at more than one point they must be coincident.
A shape that contains at least two distinct intersecting lines is a figure called a cross. A cross consists of two lines that intersect perpendicularly at their midpoint.
Two lines intersect at a point
Parallel lines do not intersect.
Two lines cross or intersect at a point.