1. **Problem Statement:** Fill in the 6 blanks with the correct triangle congruence statements or "Not Possible" based on the given graphs. 2. **Recall the criteria:** - ASA (Angle-Side-Angle): Two angles and the included side are congruent. - AAS (Angle-Angle-Side): Two angles and a non-included side are congruent. 3. **Analyze Graph 1:** Two angles and the included side KM are congruent. - By ASA, $\triangle JMK \cong \triangle LKM$. 4. **Analyze Graph 2:** Insufficient information for ASA or AAS. - Conclusion: Not Possible. 5. **Analyze Graph 3:** Two angles and a side GH are congruent. - By AAS, $\triangle FIG \cong \triangle HIG$. 6. **Analyze Graph 4:** Two angles and a non-included side are congruent. - By ASA, $\triangle BCA \cong \triangle ECD$. 7. **Fill in the blanks:** - Blank 1: $\triangle JMK \cong \triangle LKM$ (ASA) - Blank 2: Not Possible - Blank 3: $\triangle FIG \cong \triangle HIG$ (AAS) - Blank 4: $\triangle BCA \cong \triangle ECD$ (ASA) - Blank 5: Not Possible - Blank 6: Not Possible **Final answer:** 1. $\triangle JMK \cong \triangle LKM$ (ASA) 2. Not Possible 3. $\triangle FIG \cong \triangle HIG$ (AAS) 4. $\triangle BCA \cong \triangle ECD$ (ASA) 5. Not Possible 6. Not Possible