Question

in the triangular prism shown below, which planes intersect? select all that apply. rsu and rst rsu and stv stv and uvw rtu and rst

Explanation:

Step1: Recall plane - intersection concept

In a 3 - D shape, two planes intersect if they have a common line.

Step2: Analyze RSU and RST

Planes RSU and RST share the line RS, so they intersect.

Step3: Analyze RSU and STV

Planes RSU and STV share a common line (formed by the intersection of the side - faces of the prism), so they intersect.

Step4: Analyze STV and UVW

Planes STV and UVW share a common line (formed by the side - faces of the prism), so they intersect.

Step5: Analyze RTU and RST

Planes RTU and RST share the line RT, so they intersect.

Answer:

RSU and RST, RSU and STV, STV and UVW, RTU and RST