You may be tempted to think of planes as vehicles come be found up in the skies or at the airport. Well, rest assured, geometry is no fly‐by‐night operation.
You are watching: Two planes that do not intersect
Parallel planes are two plane that execute not intersect. In figure 1, aircraft P // plane Q.
Theorem 11: If each of two planes is parallel to a 3rd plane, then the 2 planes space parallel to each other (Figure 2).
Figure 2Two planes parallel come a 3rd plane
A heat l is perpendicular to aircraft A if l is perpendicular to all of the lines in aircraft A that crossing l. (Think of a pole standing directly up ~ above a level surface. The stick is perpendicular to every one of the lines drawn on the table the pass through the point where the pole is standing).
A plane B is perpendicular to a airplane A if airplane B contains a line that is perpendicular to airplane A. (Think of a book well balanced upright on a level surface.) See figure 3.
See more: What Are The Multiples Of 63 ? Multiples Of The 63
Figure 3Perpendicular planes
Theorem 12: If 2 planes room perpendicular to the very same plane, then the two planes either intersect or room parallel.
In number 4, airplane B ⊥ airplane A, airplane C ⊥ aircraft A, and aircraft B and aircraft C intersect follow me line l.
Figure 4Two intersecting planes that space perpendicular to the exact same plane
In figure 5, aircraft B ⊥ airplane A, plane C ⊥ airplane A, and airplane B // plane C.