Transversal plane
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
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
- ^ Paulsen, Friedrich; Waschke, Jens (August 20, 2018). Sobotta Atlas of Anatomy, Vol.1, 16th Ed., English/Latin (16th ed.). Elsevier Health Sciences Germany. p. 7. ISBN 9780702052743.
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