Question

Which congruence theorem proves △ABC ≅ △ XYZ ? (1 point)
SAS Theorem
AAS Theorem
SSS Theorem
ASA Theorem

Answer 1

To determine which congruence theorem proves that triangle \( \triangle ABC \) is congruent to triangle \( \triangle XYZ \), we need to know which sides and angles are given to be equal.

1. **SAS Theorem** (Side-Angle-Side): Two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.
2. **AAS Theorem** (Angle-Angle-Side): Two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle.
3. **SSS Theorem** (Side-Side-Side): All three sides of one triangle are equal to all three sides of another triangle.
4. **ASA Theorem** (Angle-Side-Angle): Two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle.

Without additional information about which sides or angles are equal, I cannot definitively select a theorem. However, if you have specific side or angle measures that are equal, please provide those, and I will help identify the correct congruence theorem.