Final answer:
SSS, SAS, ASA, and AAS are congruence criteria used in geometry to prove that two triangles are congruent by comparing corresponding sides and angles.
Step-by-step explanation:
SSS, SAS, ASA, and AAS are congruence criteria used in geometry to prove that two triangles are congruent. Congruent triangles are triangles that have the same size and shape. These criteria compare corresponding sides and angles of two triangles to determine if they are congruent.
The SSS (Side-Side-Side) criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
The SAS (Side-Angle-Side) criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
The AAS (Angle-Angle-Side) criterion states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.