Question

in the triangular prism shown below, which lines are intersecting? ij and hk, jk and fh, gj and ij, gj and ik

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overrightarrow{IJ}$ and $\overrightarrow{HK}$, they do not intersect as they are in different non - overlapping planes in the prism.
• For $\overrightarrow{JK}$ and $\overrightarrow{FH}$, they do not intersect as they are in different non - overlapping planes in the prism.
• For $\overrightarrow{GJ}$ and $\overrightarrow{IJ}$, they share the common point $J$.
• For $\overrightarrow{GJ}$ and $\overrightarrow{IK}$, they do not intersect as they are in different non - overlapping planes in the prism.

Answer:

$\overrightarrow{GJ}$ and $\overrightarrow{IJ}$