Questions: What is FC̅ in the figure? a perpendicular bisector a median an altitude an angle bisector

Solution Steps

The problem asks about the nature of the line segment \( \overline{FC} \) in the given triangle \( \triangle DFB \).

Observe that \( \overline{FC} \) intersects \( \overline{DB} \) at point \( C \), and \( \overline{DB} \) is divided into two equal segments \( \overline{DC} \) and \( \overline{CB} \). This indicates that \( C \) is the midpoint of \( \overline{DB} \).

Since \( \overline{FC} \) connects vertex \( F \) to the midpoint \( C \) of the opposite side \( \overline{DB} \), \( \overline{FC} \) is a median of \( \triangle DFB \).

Final Answer