Question

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

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each pair

• For $\overrightarrow{KM}$ and $\overrightarrow{LN}$: They do not intersect in the given pyramid.
• For $\overrightarrow{KL}$ and $\overrightarrow{KN}$: They intersect at point $K$.
• For $\overrightarrow{LN}$ and $\overrightarrow{MN}$: They intersect at point $N$.
• For $\overrightarrow{KL}$ and $\overrightarrow{MN}$: They do not intersect in the given pyramid.

Answer:

B. $\overrightarrow{KL}$ and $\overrightarrow{KN}$, C. $\overrightarrow{LN}$ and $\overrightarrow{MN}$