Question

in the triangular prism shown below, which lines are parallel? cf and ef be and de ad and be ad and de

Explanation:

Step1: Recall parallel - line property in prism

In a triangular prism, opposite lateral - edges are parallel.

Step2: Analyze given line - pairs

In the triangular prism, $\overleftrightarrow{AD}$ and $\overleftrightarrow{BE}$ are opposite lateral - edges. They are parallel as they lie in parallel planes and do not intersect. $\overleftrightarrow{CF}$ and $\overleftrightarrow{EF}$ intersect at point $F$, $\overleftrightarrow{BE}$ and $\overleftrightarrow{DE}$ intersect at point $E$, $\overleftrightarrow{AD}$ and $\overleftrightarrow{DE}$ intersect at point $D$.

Answer:

$\overleftrightarrow{AD}$ and $\overleftrightarrow{BE}$