Question

in the rectangular prism shown below, which lines are intersecting? cg and eh bf and fg cd and eh ab and ef

Explanation:

Step1: Recall the definition of intersecting lines

Intersecting lines are lines that meet at a point.

Step2: Analyze each option

• $\overrightarrow{CG}$ and $\overrightarrow{EH}$: These lines are skew - they do not lie in the same plane and do not intersect.
• $\overrightarrow{BF}$ and $\overrightarrow{FG}$: These lines meet at point $F$.
• $\overrightarrow{CD}$ and $\overrightarrow{EH}$: These lines are skew - they do not lie in the same plane and do not intersect.
• $\overrightarrow{AB}$ and $\overrightarrow{EF}$: These lines are parallel and do not intersect.

Answer:

$\overrightarrow{BF}$ and $\overrightarrow{FG}$