intersecting planes

Definition of Intersecting Planes

  • The two planes that meet in a single line are called Intersecting Planes.

More about Intersecting Planes

  • Two planes always intersect in a line as long as they are not parallel.
  • Two planes cannot intersect in more than one line.

Example of Intersecting Planes

  • In the above figure, the two planes A and B intersect in a single line Kl.
    Therefore, the line Kl is the common line between the planes A and B.

Solved Example on Intersecting Planes

Identify the intersection between two planes.

A. Plane A
B. Plane B
C. Line CD
D. None of these
Correct Answer: C
Step 1: Two planes are said to be in intersection if they cross in a single line.
Step 2: Here, line CD intersects the plane A and plane B shown in figure.
Step 3: Therefore, line CD is the intersection between the two planes.

Related Terms for Intersecting Planes

  • Intersection
  • Line
  • Plane