Final answer:
Triangle congruence can be proven using different criteria such as SSS, SAS, AAS, ASA, and HL.
Step-by-step explanation:
No specific question about triangles was provided. However, I can provide a general explanation about triangle congruence and the different criteria used to prove congruence.
In geometry, triangles are considered congruent when they have the same shape and size. There are different criteria used to prove triangle congruence:
- SSS (Side-Side-Side): If all three sides of one triangle are equal in length to the corresponding sides of another triangle, the triangles are congruent.
- SAS (Side-Angle-Side): If two sides and the angle between them of one triangle are equal in length and measure to the corresponding sides and angle of another triangle, the triangles are congruent.
- AAS (Angle-Angle-Side): If two angles and the included side of one triangle are equal in measure and length to the corresponding angles and included side of another triangle, the triangles are congruent.
- ASA (Angle-Side-Angle): If two angles and the included side of one triangle are equal in measure and length to the corresponding angles and included side of another triangle, the triangles are congruent.
- HL (Hypotenuse-Leg): This criterion is specifically used for right triangles. If the hypotenuse and one leg of a right triangle are equal in length to the hypotenuse and one leg of another right triangle, the triangles are congruent.