The problem asks to name two segments from the diagram of a right rectangular prism that are perpendicular.

Looking at the diagram, the rectangular prism is defined by its vertices and edges, and all angles are $90^\circ$. Perpendicular segments can be identified as those that meet at right angles.

Here are two examples of segments that are perpendicular:

1. Segment $\overline{VT}$ and segment $\overline{TS}$
2. Segment $\overline{TS}$ and segment $\overline{RS}$

These pairs of segments meet at $T$ and $S$, respectively, forming right angles.

Would you like more details or further clarification?

Here are five related questions to expand your understanding:

1. How do you determine perpendicularity in a three-dimensional figure?
2. Can two skew lines in space be perpendicular?
3. What is the difference between perpendicular and parallel segments in three-dimensional shapes?
4. How do angles between line segments behave in different types of polyhedra?
5. Can diagonal segments in a rectangular prism also be perpendicular?

Tip: In three-dimensional geometry, perpendicular segments often form the edges of a right rectangular prism where two adjacent faces meet.