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

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

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

Answer

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 $\overrightarrow{KN}$