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Triangle Congruence Theorems SSS≅ Side-Side-Side SAS≅ Side-Angle-Side If the three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent. If two sides and the angle between them are congruent to the corresponding parts of a second triangle, then the triangles are congruent AAS≅ Angle-Angle-Side ASA≅ Angle-Side-Angle If two angles and a side not between those angles are congruent to the corresponding parts of a second triangle, then the triangles are congruent. If two angles and a side between those angles are congruent to the corresponding parts of a second triangle, then the triangles are congruent. HL≅ Hypotenuse Leg If the hypotenuse and one leg of a right triangle are congruent to the corresponding parts of another right triangle, then the right triangles are congruent.