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in the cube shown below, which planes intersect? ghk and gjk gjk and hi…

Question

in the cube shown below, which planes intersect? ghk and gjk gjk and hil ghk and ljm klm and ghi

Explanation:

Step1: Recall plane - intersection concept

In a cube, two planes intersect if they are not parallel.

Step2: Analyze each option

  • For GHK and GJK: They share the line GK, so they intersect.
  • For GJK and HIL: GJK is a face - like plane and HIL is a non - parallel plane that will intersect GJK.
  • For GHK and LIM: These two planes are parallel and do not intersect.
  • For KLM and GHI: These two planes are parallel and do not intersect.

Answer:

GHK and GJK, GJK and HIL