Subjects geometry

Triangle Congruence 07E7Ed

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Triangle Congruence 07E7Ed


1. **Problem:** Determine if the two triangles are congruent using ASA (Angle-Side-Angle) or AAS (Angle-Angle-Side) criteria. 2. **Recall the criteria:** - ASA: Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. - AAS: Two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle. 3. **Check each pair of triangles:** - For each pair, identify the given angles and sides. - Confirm if the given information matches ASA or AAS. 4. **State congruence:** - If ASA or AAS conditions are met, the triangles are congruent. - Otherwise, state what additional information is needed. 5. **Additional information required:** - For AAS, the side opposite one of the known angles must be known. - For ASA, the side between the two known angles must be known. 6. **Summary for problems 5 to 8:** - 5) AAS: Need the side opposite one of the known angles. - 6) ASA: Need the side between the two known angles. - 7) AAS: Need the side opposite one of the known angles. - 8) ASA: Need the side between the two known angles. This approach ensures you can determine congruence or identify missing information for each triangle pair.