Question

in the rectangular prism shown below, which planes intersect? select all that apply.

Explanation:

Step1: Recall plane - intersection concept

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

Step2: Analyze each option

• For ABE and CDG: These planes are parallel as they are opposite faces of the prism, so they do not intersect.
• For EFG and ABC: These planes are parallel as they are opposite faces of the prism, so they do not intersect.
• For ADE and BCF: These planes intersect along the line parallel to the edges of the prism.
• For ADE and CDG: These planes intersect along the line segment DE.

Answer:

ADE and BCF, ADE and CDG