Two triangles are congruent if: 1) The three sides of one triangle are equal to the three sides of the other triangle (Side-Side-Side congruence) 2) Two sides and the angle between those sides of one triangle are equal to two sides and the corresponding angle of the other triangle (Side-Angle-Side congruence)

1. Terms of Endearment Proving Triangles Congruent by SSS and SAS: 4.3

2. Side-Side-Side Congruence Postulate (SSS) If 3 sides of one triangle are congruent to 3 sides of a second triangle, then the two triangles are congruent

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