1. Warmup Write a congruence statement for the triangles.
How do you know they are congruent?

2. 4.4/4.5
Proving Triangles Congruent

3. Proving Triangles Congruent
In order to prove that triangles are congruent, we DO NOT need to show all 6 congruence statements.
Today we will look at 4 ways to prove triangles are congruent. A B C X Y Z

4. Side-Side-Side (SSS):A B C X Y Z

5. Side-Angle-Side (SAS):B C X Y Z

6. Angle-Side-Angle (ASA):B C X Y Z

7. Angle-Angle-Side (AAS):B C X Y Z

8. Example 1:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. F E B A G C

9. Example 2:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. Y A X Z B C

10. Example 3:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. A E C B

11. Practice 1:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. Y A C X B Z

12. Practice 2:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. A D C B E

13. Practice 3:
Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. R C S Q D E

14. Practice Worksheet