1. Other Methods of Proving Triangles Congruent
Section 4-5
Other Methods of Proving Triangles Congruent

2. SSS Postulate SAS Postulate ASA Postulate
In Section 4-2, we learned three postulates that proved triangles congruent:
SSS Postulate
SAS Postulate
ASA Postulate

3. Postulate is a statement accepted without proof.
Recall:
Postulate is a statement accepted without proof.
Theorem is a statement that can be proved.

4. AAS Theorem (Angle-Angle-Side)
If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

5. A D C B F E

6. The next method in proving triangles congruent only applies to right triangles!

7. Diagram of a Right Triangle
Hypotenuse: side opposite the right angle
Leg
Leg

8. HL Theorem (Hypotenuse-Leg)
If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

9. B E C D A F