Centers of Triangles: Bisectors, Medians, Altitudes & Inequalities

In triangle $DEF$ below, segment $DG$ is drawn from vertex $D$ to side $EF$. Three students make claims: - Aliya says $DG$ is a **median** because $G$ is the midpoint of $EF$. - Ben says $DG$ is an **altitude** because it looks perpendicular. - Carla says $DG$ is an **angle bisector** because it splits $\angle D$. For each claim, state what ONE piece of evidence you would need to confirm or deny it. ```geometry {"figureType":"triangle","angles":{"D":48,"E":62},"vertexLabels":["D","E","F"],"angleLabels":{"D":"","E":"","F":""},"showAngles":false,"title":"Triangle DEF with cevian DG"} ```