Question

1 in the diagram:
name all segments parallel to (overline{zy}).

Explanation:

Step1: Analyze the 3D figure structure

In a 3D figure (like a prism or a box - like structure here), parallel segments are those that do not intersect and are in the same direction. Looking at the diagram, we need to find segments that have the same orientation as \(\overline{ZY}\).

Step2: Identify parallel segments

• \(\overline{WX}\): By the properties of the 3D figure (assuming it's a prism - like structure with parallel faces), \(\overline{ZY}\) and \(\overline{WX}\) are parallel as they are on corresponding faces and have the same direction.
• \(\overline{VU}\): Similarly, \(\overline{VU}\) is parallel to \(\overline{ZY}\) as they are in the same orientation within the structure.
• \(\overline{ST}\): \(\overline{ST}\) also has the same direction as \(\overline{ZY}\) and does not intersect it, so it is parallel.

Answer:

\(\overline{WX}\), \(\overline{VU}\), \(\overline{ST}\)