Final answer:
SSS, SAS, ASA, and AAS are different ways to prove that two triangles are congruent in geometry.
Step-by-step explanation:
SSS, SAS, ASA, and AAS Triangles
In geometry, SSS, SAS, ASA, and AAS are different ways to prove that two triangles are congruent. Congruent triangles have the same shape and size.
- SSS stands for Side-Side-Side. If all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.
- SAS stands for Side-Angle-Side. If two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent.
- ASA stands for Angle-Side-Angle. If two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent.
- AAS stands for Angle-Angle-Side. If two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent.