Question

in the triangular prism shown below, which lines are parallel? select all that apply.
qt and ru
qr and tu
ps and ru
ps and qt

Explanation:

Step1: Recall properties of triangular prism

In a triangular prism, parallel - faced edges are parallel.

Step2: Analyze the prism

The opposite edges of the parallel - faced rectangles in the prism are parallel. In a triangular prism, the lateral edges are parallel. Here, $\overline{PS}$ and $\overline{QT}$ are lateral edges and are parallel. Also, $\overline{QR}$ and $\overline{TU}$ are corresponding edges of the two parallel triangular bases and are parallel.

Answer:

QR and TU, PS and QT