Question

in the triangular pyramid shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overrightarrow{KM}$ and $\overrightarrow{KN}$, they share point $K$, so they intersect.
• For $\overrightarrow{KL}$ and $\overrightarrow{MN}$, they do not share a common - point in the pyramid structure, so they do not intersect.
• For $\overrightarrow{KL}$ and $\overrightarrow{KN}$, they share point $K$, so they intersect.
• For $\overrightarrow{KN}$ and $\overrightarrow{LM}$, they do not share a common - point in the pyramid structure, so they do not intersect.

Answer:

$\overrightarrow{KM}$ and $\overrightarrow{KN}$, $\overrightarrow{KL}$ and $\overrightarrow{KN}$