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in the cube shown below, which planes are parallel? dgh and hdj dgh and…

Question

in the cube shown below, which planes are parallel? dgh and hdj dgh and deh deh and def fgj and deh

Explanation:

Step1: Recall parallel - plane concept

In a cube, parallel planes do not intersect.

Step2: Analyze each option

  • For "DGH and HDJ": These planes share the line HD, so they are not parallel.
  • For "DGH and DEH": These planes share the line DH, so they are not parallel.
  • For "DEH and DEF": These planes share the line DE, so they are not parallel.
  • For "FGJ and DEH": In a cube, opposite - facing planes are parallel. Plane FGJ and plane DEH are opposite - facing planes, so they are parallel.

Answer:

FGJ and DEH