Question

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

Explanation:

Step1: Recall parallel - line property

Parallel lines in 3 - D shapes lie in the same plane and do not intersect.

Step2: Analyze the triangular prism

In the given triangular prism, the top and bottom triangular faces are parallel. The lateral faces are rectangles.
For the edges:

• $\overrightarrow{PQ}$ and $\overrightarrow{MN}$ are parallel because they are opposite edges of the same - type (lateral) rectangular face. They lie in the same plane (lateral face plane) and do not intersect.

Answer:

$\overrightarrow{PQ}$ and $\overrightarrow{MN}$