Parallel planes

Parallel planes are planes that do not intersect or meet. Take a look at the following figure. The figure shows two planes that are parallel.

Parallel planes

Notice that you can extend these two planes as much as you wish. However, they will never meet.

Identifying parallel planes

Use the diagram below in order to find all pairs of parallel planes.

Parallel planes

Plane ABFE is parallel to plane DCGH

Plane AEHD is parallel to plane BFGC

Plane ABCD is parallel to plane EFGH

As you can see from this example, a box or rectangular prism will always have three pairs of parallel planes.

A plane and a line that do not intersect are also parallel. In the figure above, plane EFGH is parallel to line AB. By the same token, plane BFGC is parallel to line DH

Real life examples of parallel planes

  • The horizontal shelves in a bookcase
  • The front cover and back cover of a hard copy book
  • The top and bottom parts of a cardboard
  • The opposite sides of a Rubik's cube 

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