Question

in the triangular prism shown below, which planes intersect? select all that apply. mnp and lmn lmo and lno lno and lmn lmo and lmn

Explanation:

Step1: Recall plane - intersection concept

In a 3 - D shape, two planes intersect if they share a common line or common points.

Step2: Analyze plane MNP and LMN

Plane MNP and plane LMN share the line MN, so they intersect.

Step3: Analyze plane LMO and LNO

Plane LMO and plane LNO share the line LO, so they intersect.

Step4: Analyze plane LNO and LMN

Plane LNO and plane LMN share the point L and can be shown to share a line (in the context of the prism's structure), so they intersect.

Step5: Analyze plane LMO and LMN

Plane LMO and plane LMN share the point L and can be shown to share a line (in the context of the prism's structure), so they intersect.

Answer:

MNP and LMN, LMO and LNO, LNO and LMN, LMO and LMN