are intersecting lines always coplanar
Mathematics · High School · Mon Jan 18 2021
Answered on
Yes, intersecting lines are always coplanar. In geometry, coplanar objects are those that lie in the same plane. A plane is a flat, two-dimensional surface, and any two lines that intersect do so within a plane. Therefore, intersecting lines are by definition coplanar.
If lines intersect, they share at least one common point, and that point lies within the plane that contains both lines. Whether lines are parallel, intersecting, or skew (non-intersecting and not parallel), they exist within a three-dimensional space, and their relationship is defined by the planes that contain them.