Question

in the square pyramid shown below, which lines are intersecting? (overrightarrow{dg}) and (overrightarrow{fg}) (overrightarrow{cf}) and (overrightarrow{dg}) (overrightarrow{cd}) and (overrightarrow{fg}) (overrightarrow{cf}) and (overrightarrow{eg})

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

• $\overrightarrow{DG}$ and $\overrightarrow{FG}$ share point $G$, so they intersect.
• $\overrightarrow{CF}$ and $\overrightarrow{DG}$ do not share a common - point in the pyramid.
• $\overrightarrow{CD}$ and $\overrightarrow{FG}$ are skew lines (non - parallel and non - intersecting) as they are in different planes and do not meet.
• $\overrightarrow{CF}$ and $\overrightarrow{EG}$ are skew lines as they are in different planes and do not meet.

Answer:

$\overrightarrow{DG}$ and $\overrightarrow{FG}$