1. The problem states that triangles $\triangle GHI$ and $\triangle JKL$ are congruent, i.e., $\triangle GHI \cong \triangle JKL$. 2. By the definition of congruent triangles, corresponding angles and sides are congruent. 3. The order of vertices in the congruence statement tells us the correspondence: $G \leftrightarrow J$, $H \leftrightarrow K$, and $I \leftrightarrow L$. 4. Therefore, the valid congruences are: - $\angle G \cong \angle J$ - $\angle H \cong \angle K$ - $\angle I \cong \angle L$ - $GH \cong JK$ - $HI \cong KL$ - $IG \cong LJ$ 5. Note that $\angle H \cong \angle L$ is incorrect because $H$ corresponds to $K$, not $L$. 6. Similarly, $\angle I \cong \angle K$ is incorrect because $I$ corresponds to $L$, not $K$. 7. The side $IG$ corresponds to $LJ$ (or $JL$), which is the same segment as $LJ$. Final answer: The valid congruences are $\angle G \cong \angle J$, $\angle H \cong \angle K$, $\angle I \cong \angle L$, $GH \cong JK$, $HI \cong KL$, and $IG \cong LJ$.