Question

in the triangular prism shown below, which lines are parallel?
options:
\overleftrightarrow{np} and \overleftrightarrow{op}
\overleftrightarrow{kl} and \overleftrightarrow{no}
\overleftrightarrow{km} and \overleftrightarrow{kn}
\overleftrightarrow{kn} and \overleftrightarrow{op}

Explanation:

Step1: Recall prism properties

A triangular prism has two congruent triangular bases and three rectangular lateral faces. Opposite edges of the bases and corresponding lateral edges are parallel.

Step2: Analyze each option

• NP and OP: Share vertex P, intersecting (not parallel).
• KL and NO: KL (dashed edge) and NO are opposite edges of the prism's top/bottom bases, appearing parallel.
• KM and KN: Share vertex K, intersecting (not parallel).
• KN and OP: No indication of parallelism in the diagram.

Answer:

B. KL and NO