Question

in the rectangular prism shown below, which planes are parallel? select all that apply. ors and qru qru and opq ors and pqt pqt and opq save answer

Explanation:

Step1: Recall the property of parallel planes in a rectangular prism

In a rectangular prism, opposite faces (planes) are parallel.

Step2: Analyze each pair

• ORS and QRU: These planes share a common edge \(RQ\), so they are not parallel.
• QRU and OPQ: Plane \(QRU\) has sides \(QR\), \(RU\), \(QU\) and plane \(OPQ\) has sides \(OP\), \(PQ\), \(OQ\). They are opposite faces (parallel).
• ORS and PQT: Plane \(ORS\) has sides \(OR\), \(RS\), \(OS\) and plane \(PQT\) has sides \(PQ\), \(QT\), \(PT\). They are opposite faces (parallel).
• PQT and OPQ: These planes share a common edge \(PQ\), so they are not parallel.

Answer:

QRU and OPQ, ORS and PQT