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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.

The diagram below is a right rectangular prism. All the angles shown measure 90°. Name two segments drawn on the diagram below that are perpendicular.

This problem involves identifying two perpendicular line segments from a right rectangular prism diagram. It covers geometric concepts of perpendicularity and 3D shapes. Suitable for students in Grades 7-9, this exercise helps in visualizing and understanding perpendicular segments.

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