To determine which postulate or theorem can be used to conclude that two triangles are congruent, I would need information about the sides and angles of the triangles in question. However, I can provide a brief explanation of each congruence criterion:
- SSS (Side-Side-Side): If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.
- SAS (Side-Angle-Side): If two sides of one triangle and the angle between them are equal to two sides of another triangle and the angle between them, the triangles are congruent.
- ASA (Angle-Side-Angle): If two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.
- AAS (Angle-Angle-Side): If two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle, the triangles are congruent.
- HL (Hypotenuse-Leg): This is specific to right triangles; if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.
If you can provide more information about the triangles (e.g., which sides or angles are congruent), I can specify which postulate or theorem applies.