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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

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.

Examples of 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.