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select the pair of parallel planes in the figure below. plane bfd and p…

Question

select the pair of parallel planes in the figure below. plane bfd and plane dae plane cdg and plane dae plane cdh and plane bae plane bad and plane fgh

Explanation:

Step1: Recall the definition of parallel planes

Parallel planes are two planes that do not intersect.

Step2: Analyze each option

  • Option 1: Plane BFD and Plane DAE

These planes intersect at point \(D\), so they are not parallel.

  • Option 2: Plane CDG and Plane DAE

These planes intersect at point \(D\), so they are not parallel.

  • Option 3: Plane CDH and Plane BAE

These planes do not intersect. In a prism - like structure (the given figure), Plane \(CDH\) (a rectangular - like face) and Plane \(BAE\) (a non - intersecting face) are parallel.

  • Option 4: Plane BAD and Plane FGH

These planes intersect (by visual inspection of the 3D - figure structure), so they are not parallel.

Answer:

Plane CDH and Plane BAE