Question

name the segment that is parallel to the given segment. fg fg

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side.
In triangle \(ABC\), \(F\) is the midpoint of \(AC\) (since \(AF = FC\) as indicated by the tick marks), \(G\) is the midpoint of \(AB\) (since \(AG=GB\) as indicated by the tick marks).

Step2: Identify the parallel segment

By the mid - segment theorem, the segment \(\overline{FG}\) is parallel to \(\overline{CB}\)

Answer:

\(\overline{CB}\)