PARALLEL PLANES
Definition Of Parallel Planes
Planes that never intersect each other are known as Parallel Planes.
More About Parallel Planes
Planes which are not parallel are called intersecting planes and they always intersect in a line
Examples of Parallel Planes
The above figure shows two parallel planes, A and B.
The opposite walls of a room, floor and ceiling are the examples of parallel planes.
Video Examples: Parallel Planes and Lines
Solved Example on Parallel Planes
Ques: Identify the parallel planes.
Choices:
A. RST and UZY
B. SXY and RUT
C. WZU and XYT
D. STU and XYT
Correct Answer: C
Solution:
Step 1: Parallel planes are the planes that do not intersect.
Step 2: SXY and RUT are the planes that intersect. Hence, they are not parallel.
Step 3: RST and UZY are the planes that intersect. Hence, they are not parallel.
Step 4: STU and XYT are the planes that intersect. Hence, they are not parallel.
Step 5: WZU and XYT are the planes that do not intersect. Hence, they are parallel.
Quick Summary
- Parallel planes never intersect.
- Intersecting planes always intersect in a line.
- Opposite walls of a room, floor and ceiling are examples of parallel planes.
🍎 Teacher Insights
Use real-world examples like walls, floors, and ceilings to illustrate the concept of parallel planes. Encourage students to visualize different plane orientations.🎓 Prerequisites
- Basic Geometry
- Understanding of Planes
- Intersection of Lines
Check Your Knowledge
Q1: Which of the following pairs of planes are parallel based on the provided image?
Frequently Asked Questions
Q: What happens when planes are not parallel?
A: When planes are not parallel, they are called intersecting planes and they intersect in a line.
Q: Can parallel planes exist in different dimensions?
A: The concept of parallel planes primarily applies to three-dimensional space.