Question

in the triangular prism shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines share a common point.

Step2: Analyze $\overrightarrow{CF}$ and $\overrightarrow{DE}$

They are skew - not intersecting as they don't lie in same plane and don't meet.

Step3: Analyze $\overrightarrow{DE}$ and $\overrightarrow{EH}$

They meet at point E, so they are intersecting.

Step4: Analyze $\overrightarrow{DG}$ and $\overrightarrow{EH}$

They are skew - don't lie in same plane and don't meet.

Step5: Analyze $\overrightarrow{DG}$ and $\overrightarrow{FH}$

They are skew - don't lie in same plane and don't meet.

Answer:

$\overrightarrow{DE}$ and $\overrightarrow{EH}$