Question

the diagram below is a right rectangular prism. all the angles shown measure 90°. name two segments drawn on the diagram below that are parallel.

Explanation:

Step1: Recall properties of right rectangular prism

In a right rectangular prism, opposite edges (segments) are parallel. For example, consider the top face and bottom face edges, or vertical edges.

Step2: Identify parallel segments

Looking at the diagram, segments like \( YX \) and \( VW \) are parallel (they are on the top face, opposite sides), or \( YV \) and \( XW \), or \( RS \) and \( TU \), or \( RV \) and \( SW \), etc. Let's take \( YX \) and \( VW \) (or any other pair of opposite edges).

Answer:

\( YX \) and \( VW \) (Other valid pairs include \( YV \) and \( XW \), \( RS \) and \( TU \), \( RV \) and \( SW \), \( RU \) and \( ST \), \( YU \) and \( XT \), etc.)