Question

in the rectangular prism shown below, which lines are intersecting? hi and ij ij and ef hi and ef fj and de

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• For $\overleftrightarrow{HI}$ and $\overleftrightarrow{IJ}$, they meet at point $I$.
• For $\overleftrightarrow{IJ}$ and $\overleftrightarrow{EF}$, they are skew - not in the same plane and don't intersect.
• For $\overleftrightarrow{HI}$ and $\overleftrightarrow{EF}$, they are skew.
• For $\overleftrightarrow{FJ}$ and $\overleftrightarrow{DE}$, they are skew.

Answer:

$\overleftrightarrow{HI}$ and $\overleftrightarrow{IJ}$