1. **State the problem:** You want to know where to place the marks for sides and angles in the diagram to indicate congruence based on the given information. 2. **Given information:** - $\angle G \cong \angle I$ means the angles at points G and I are congruent. - $FH$ bisects $\angle GFI$, so $\angle GFH \cong \angle IFH$. - We also use the reflexive property that segment $FH$ is congruent to itself. 3. **Where to place marks:** - Place one arc mark on $\angle G$ and one identical arc mark on $\angle I$ to show $\angle G \cong \angle I$. - Place one arc mark on $\angle GFH$ and one identical arc mark on $\angle IFH$ to show these angles are congruent because $FH$ bisects $\angle GFI$. - Place one single tick mark on segment $FH$ in both triangles to indicate $FH \cong FH$ by the reflexive property. 4. **Summary:** - Angle marks (arcs) indicate congruent angles. - Tick marks on sides indicate congruent segments. This visual marking helps clearly show the congruences used in the proof.