transversal plane
{{one source |date=May 2024}}
In geometry, a transversal plane is a plane that intersects (not contains) two or more lines or planes.{{cite book |last1=Paulsen |first1=Friedrich |last2=Waschke |first2=Jens |date=August 20, 2018 |title=Sobotta Atlas of Anatomy, Vol.1, 16th Ed., English/Latin |url=https://books.google.com/books?id=RiWPDwAAQBAJ |publisher=Elsevier Health Sciences Germany |edition=16th |page=7 |isbn=9780702052743}} 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.