Question

in the cube shown below, which lines are intersecting? (overleftrightarrow{hi}) and (overleftrightarrow{dh}), (overleftrightarrow{hi}) and (overleftrightarrow{ef}), (overleftrightarrow{dg}) and (overleftrightarrow{ei}), (overleftrightarrow{fg}) and (overleftrightarrow{ei})

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overleftrightarrow{HI}$ and $\overleftrightarrow{DH}$, they meet at point $H$.
• $\overleftrightarrow{HI}$ and $\overleftrightarrow{EF}$ are parallel.
• $\overleftrightarrow{DG}$ and $\overleftrightarrow{EI}$ are skew.
• $\overleftrightarrow{FG}$ and $\overleftrightarrow{EI}$ are skew.

Answer:

$\overleftrightarrow{HI}$ and $\overleftrightarrow{DH}$