Question

in the triangular prism shown below, which planes intersect? select all that apply. bce and abc acd and abc bce and def abd and abc

Explanation:

Step1: Recall plane - intersection concept

In a 3 - D shape, two planes intersect if they share at least one line.

Step2: Analyze BCE and ABC

Planes BCE and ABC share the line BC, so they intersect.

Step3: Analyze ACD and ABC

Planes ACD and ABC share the line AC, so they intersect.

Step4: Analyze BCE and DEF

Planes BCE and DEF share the line ED, so they intersect.

Step5: Analyze ABD and ABC

Planes ABD and ABC share the line AB, so they intersect.

Answer:

BCE and ABC, ACD and ABC, BCE and DEF, ABD and ABC