Question

in the cube shown below, which planes intersect? select all that apply. ops and stu ops and opq qru and stu ops and qru

Explanation:

Step1: Recall the property of planes in a cube

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

Step2: Analyze each pair

• OPS and STU: These two planes are parallel (opposite faces of the cube), so they do not intersect.
• OPS and OPQ: These two planes share the line \(OP\), so they intersect.
• QRU and STU: These two planes share the line \(RU\), so they intersect.
• OPS and QRU: These two planes are parallel (opposite - like in orientation in the cube structure), so they do not intersect.

Answer:

OPS and OPQ, QRU and STU