Question

name two planes that intersect in qr in the figure to the right. choose the correct answer below. a. plane qts and plane rvu b. plane tsr and plane uqt c. plane qts and plane rsw d. plane rsw and plane rvu

Explanation:

Step1: Recall plane - intersection concept

Two planes intersect in a line. We need to find two planes that share the line $\overleftrightarrow{QR}$.

Step2: Analyze each option

• Option A: Plane QTS and plane RVU do not intersect in $\overleftrightarrow{QR}$.
• Option B: Plane TSR and plane UQT intersect in $\overleftrightarrow{QT}$, not $\overleftrightarrow{QR}$.
• Option C: Plane QTS and plane RSW do not intersect in $\overleftrightarrow{QR}$.
• Option D: Plane RSW and plane RVU intersect in $\overleftrightarrow{QR}$ as the common - line between these two planes in the given cube is $\overleftrightarrow{QR}$.

Answer:

D. plane RSW and plane RVU