1. There are 5 ways to prove triangles congruent.

2. Side-Side-Side (SSS) Congruence Postulate
All Three sides in one triangle are congruent to all three sides in the other triangle

3. Side-Angle-Side (SAS) Congruence Postulate
Two sides and the INCLUDED angle
(the angle is in between the 2 marked sides)

4. Two Angles and One Side that is NOT included
Angle-Angle-Side (AAS) Congruence Postulate A S A S
Two Angles and One Side that is NOT included

5. Angle-Side-Angle (ASA) Congruence Postulate
Two angles and the INCLUDED side
(the side is in between the 2 marked angles)

6. There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse LegHL

7. Your Only Ways To Prove Triangles Are Congruent
SSS
SAS
ASA
AAS HL
NO BAD WORDS
Your Only Ways To Prove Triangles Are Congruent

8. 2 markings you can add if they aren’t marked already

9. Reason: reflexive property
Share a side
Reason: reflexive property
Vertical Angles
Reason: Vertical Angles are congruent

10. White Board Practice

11. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 1
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS

12. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 2 I
AAS

13. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 3
SSS, SAS, ASA, AAS, HL, or not congruent.
Not congruent.

14. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 4
SSS, SAS, ASA, AAS, HL, or not congruent.
SAS

15. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 5
ASA

16. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 6
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS

17. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 7
Not congruent

18. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 8
SAS

19. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 9
SSS, SAS, ASA, AAS, HL, or not congruent.
AAS

20. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 10
SSS, SAS, ASA, AAS, HL, or not congruent. HL

21. HW:
Practice Worksheet
Both Sides