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.
Video Examples: Intersections of Two Planes
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
Ques: Identify the intersection between two planes.
Choices:
A. Plane A
B. Plane B
C. Line CD
D. None of these
Correct Answer: C
Solution:
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.
Quick Summary
- Two planes always intersect in a line as long as they are not parallel.
- Two planes cannot intersect in more than one line.
🍎 Teacher Insights
Use physical models to demonstrate intersecting planes, such as using two sheets of paper or cardboard.🎓 Prerequisites
- Basic understanding of planes
- Basic understanding of lines
Check Your Knowledge
Q1: Identify the intersection between two planes in the given figure.
Frequently Asked Questions
Q: What happens if two planes are parallel?
A: Parallel planes never intersect.
Q: Can three planes intersect?
A: Yes, three planes can intersect at a point, a line, or not at all.