Question

in the cube shown below, which planes intersect? qrs and mno mnq and ops mpq and ops mpq and nor

Explanation:

Step1: Recall plane - intersection concept

Two planes in 3 - D space intersect if they are not parallel.

Step2: Analyze each option

• For QRS and MNO: These are opposite faces of the cube, so they are parallel and do not intersect.
• For MNQ and OPS: These are opposite faces of the cube, so they are parallel and do not intersect.
• For MPQ and OPS: These planes share a common edge (PO), so they intersect.
• For MPQ and NOR: These are opposite - like planes and are parallel, so they do not intersect.

Answer:

MPQ and OPS