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QUESTION IMAGE

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

Question

in the rectangular prism shown below, which planes are parallel? select all that apply.
image of a rectangular prism with vertices labeled t, s, r, o, n, m, p, q
options (with checkmarks):

  • mnq and mpq
  • nor and qrs
  • mnq and nor
  • mpq and nor

Explanation:

Step1: Recall rectangular prism properties

Opposite faces are parallel; adjacent faces intersect.

Step2: Analyze each option

  • MNQ & MPQ: Adjacent (share edge MQ), not parallel.
  • NOR & QRS: Opposite vertical faces, parallel.
  • MNQ & NOR: Adjacent (share edge NQ), not parallel.
  • MPQ & NOR: Non-opposite, intersecting, not parallel.

Answer:

B. NOR and QRS