**4.4 Triangle Congruence: SSS and SAS**

**Definitions:**

Triangle Rigidity- if the side lengths of a triangle are given, the triangle can have only one shape

Triangle Rigidity

**Postulates:**

Side-Side-Side (SSS) Congruence Postulate- If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent

Side-Side-Side (SSS) Congruence Postulate

**Side-Angle-Side (SAS) Congruence Postulate**- If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent

**Examples:**