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Congruence Properties Two triangles are congruent if: 1. Two sides and the angle in between them of one triangle are congruent to the corresponding parts of the other triangle. Side-Angle-Side (SAS) 2. Three sides of one triangle are congruent to the corresponding sides of the other triangle. Side-Side-Side (SSS) 3. Two angles and the side in between them of one triangle are congruent to the corresponding parts of the other triangle. Angle-Side-Angle (ASA) 4. The hypotenuse and one leg of a right triangle are congruent to the corresponding sides of the other triangle. Hypotenuse-Leg (HL) 5. One angle and the side opposite it along with a second angle of one triangle are congruent to the corresponding parts of the other triangle. Angle-Side-Angle (ASA)