Question

in the triangular prism shown below, which lines are intersecting? gj and fi, ij and fg, ij and fi, hi and eg

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• $\overrightarrow{GJ}$ and $\overrightarrow{FI}$: These lines are skew - they do not lie in the same plane and do not intersect.
• $\overrightarrow{IJ}$ and $\overrightarrow{FG}$: These lines are skew - they do not lie in the same plane and do not intersect.
• $\overrightarrow{IJ}$ and $\overrightarrow{FI}$: These lines share the common point $I$, so they are intersecting.
• $\overrightarrow{HI}$ and $\overrightarrow{EG}$: These lines are skew - they do not lie in the same plane and do not intersect.

Answer:

$\overrightarrow{IJ}$ and $\overrightarrow{FI}$