1. 4.3 & 4.4 Proving Triangles are Congruent

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

3. Side-Angles-Side (SAS) Congruence Postulate
If 2 sides are congruent and the angle between the sides are congruent then the triangles are congruent.

4. Angle-Side-Angle (ASA) Congruence Postulate
If 2 angles are congruent and the side between them is congruent then the triangles are congruent.

5. Angle-Angle-Side (AAS) Congruence Theorem
If 2 angles are congruent and the non-included side is congruent then the triangles are congruent.

6. Overall, the 4 postulates to prove Triangles Congruent are…
SSS
SAS
ASA
AAS
*Order matters!

7. Practice Questions:
Are the following triangles congruent? If so, by which postulate?

8. Practice Questions:
Name the included angle between side AB and BC:

9. Practice Questions:
Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use.