Question

1. which segments in the picture are parallel? o be and gh o ad and ab o bc and hf o hf and de

Explanation:

Step1: Recall parallel - line property in 3D

In a 3 - D figure, parallel segments lie in the same or parallel planes and do not intersect.

Step2: Analyze each option

• For $\overline{BE}$ and $\overline{GH}$, they are not in the same or parallel planes and are not parallel.
• For $\overline{AD}$ and $\overline{AB}$, they intersect at point $A$, so they are not parallel.
• For $\overline{BC}$ and $\overline{HF}$, in a prism - like 3 - D figure, opposite edges of the same - type faces are parallel. $\overline{BC}$ and $\overline{HF}$ are opposite edges of parallel rectangular faces.
• For $\overline{HF}$ and $\overline{DE}$, they are not in the same or parallel planes and are not parallel.

Answer:

$\overline{BC}$ and $\overline{HF}$