Question

in the triangular prism shown below, which lines are intersecting? dg and eh, fh and gh, dg and fh, cd and gh

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• $\overrightarrow{DG}$ and $\overrightarrow{EH}$ are parallel, don't intersect.
• $\overrightarrow{FH}$ and $\overrightarrow{GH}$ share the common - point $H$, so they intersect.
• $\overrightarrow{DG}$ and $\overrightarrow{FH}$ are skew lines, don't intersect.
• $\overrightarrow{CD}$ and $\overrightarrow{GH}$ are skew lines, don't intersect.

Answer:

$\overrightarrow{FH}$ and $\overrightarrow{GH}$