Transversal plane
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This article relies largely or entirely on a single source. (May 2024) |
In geometry, a transversal plane is a plane that intersects (not contains) two or more lines or planes.[1] A transversal plane may also form dihedral angles.
Theorems
[edit | edit source]Transversal plane theorem for lines: Lines that intersect a transversal plane are parallel if and only if their alternate interior angles formed by the points of intersection are congruent.
Transversal plane theorem for planes: Planes intersected by a transversal plane are parallel if and only if their alternate interior dihedral angles are congruent.
Transversal line containment theorem: If a transversal line is contained in any plane other than the plane containing all the lines, then the plane is a transversal plane.
References
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