1. Proving Triangles Congruent

2. Included Angles & Sides* * *
Included Side:

3. SIDE SIDE SIDE (SSS)
If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent. A B C D E F

4. ANGLE ANGLE SIDE (AAS)
If the if two consecutive angles and a side not between them on one triangle are congruent to two consecutive angles and a side not between them on a second triangle , then the triangles are congruent. A B C D E F 4

5. HYPOTENEUSE LEG (HL)
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. A B C D E F 5

6. SIDE ANGLE SIDE (SAS)
If two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the triangles are congruent. A B C D E F 6

7. ANGLE SIDE ANGLE (ASA)
If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the triangles are congruent. A B C D E F 7