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in the cube shown below, which planes intersect? ruv and stw rsv and tu…

Question

in the cube shown below, which planes intersect? ruv and stw rsv and tux vmx and rst ruv and rst

Explanation:

Step1: Recall the definition of intersecting planes

Two planes intersect if they are not parallel and share a common line.

Step2: Analyze each option

  • Option RUV and STW: These planes are parallel (opposite faces of the cube), so they do not intersect.
  • Option RSV and TUX: These planes are parallel (opposite faces of the cube), so they do not intersect.
  • Option VMX and RST: These planes are parallel (opposite faces of the cube), so they do not intersect.
  • Option RUV and RST: These planes share the line \(RS\), so they intersect.

Answer:

RUV and RST