1. **Problem Statement:** Identify a median in triangle $\triangle GBI$ using the given figure. 2. **Definition of a Median:** A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. 3. **Step-by-step Reasoning:** - In $\triangle GBI$, the vertices are $G$, $B$, and $I$. - To find a median, look for a segment starting from one vertex and ending at the midpoint of the opposite side. - The figure shows points $F$, $O$, $P$, and $J$ inside the triangle. - Since $F$ lies on side $BI$, if $F$ is the midpoint of $BI$, then segment $GF$ is a median. 4. **Conclusion:** - $\boxed{GF}$ is a median in $\triangle GBI$ because it connects vertex $G$ to the midpoint $F$ of side $BI$. This satisfies the definition of a median.