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in the rectangular prism shown below, which planes are parallel? klo an…

Question

in the rectangular prism shown below, which planes are parallel? klo and klm opq and klm klo and opq kno and opq

Explanation:

Step1: Recall the property of parallel planes in a rectangular prism

In a rectangular prism, opposite planes are parallel.

Step2: Analyze each option

  • For the option "KLO and KLM": These two planes share a common edge \(KL\), so they are not parallel.
  • For the option "OPQ and KLM": These planes are not opposite.
  • For the option "KLO and OPQ": In the rectangular prism, plane \(KLO\) and plane \(OPQ\) are opposite planes. Since in a rectangular prism, opposite planes are parallel, \(KLO\parallel OPQ\).
  • For the option "KNO and OPQ": These planes are not opposite.

Answer:

\(KLO\) and \(OPQ\)