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in the cube shown below, which planes intersect? fgj and fgh fij and gh…

Question

in the cube shown below, which planes intersect? fgj and fgh fij and ghk fgj and hil jkl and fgh

Explanation:

Step1: Analyze the first option

Planes \(FGJ\) and \(FGH\) share the line \(FG\). So they intersect.

Step2: Analyze the second option

Planes \(FIJ\) and \(GHK\) are parallel. They do not intersect.

Step3: Analyze the third option

Planes \(FGJ\) and \(HIL\) are parallel. They do not intersect.

Step4: Analyze the fourth option

Planes \(JKL\) and \(FGH\) are parallel. They do not intersect.

Answer:

FGJ and FGH