1. Proving Triangles Congruent
SSS Postulate, SAS Postulate
ASA Postulate, AAS Theorem
& HL Theorem

2. Side - Side - Side PostulateC B
If three sides of one triangle are congruent to three sides of another triangle, then
the two triangles are congruent.
ABC   DEF F E D

3. SSS Example: E T I K
ITK   
ETK

4. Side - Angle - Side PostulateJ L K
If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then
the two triangles are 
 JKL   MNO O N M

5. SAS Example
ARK   ? K N E R A
ERN

6. Angle - Side - Angle PostulateR Q P
If two angles and the included side of one triangle are  to two angles and the included side of another triangle, then
the triangles are 
PQR   STU U T S

7. ASA Example
YMA   ? M Y R A
YRA
AY Bisects < MAR

8. Angle - Angle - Side TheoremZ Y X
If two angles and a nonincluded side of one triangle are  to two angles and the corresponding nonincluded side, then
the triangles are 
 XYZ   JAC C J A

9. AAS Example K Y R E
RKY   ?
KRE

10. Hypotenuse-Leg Theorem
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then
the triangles are 
 RPW   SBM R W P M B S

11. HL Example Q
QMC   ? M
QHC H C

12. Example 1 M E K I
IEM   ?
 IEK
Property?
SAS

13. Example 2
RBA   ? T I B A
 IBT
Property? R
ASA

14. MOU   ? None Property? Example 3 None: SSA isn’t a property O U S M

15. Example 4
RIK   ? K S I R
 SKI
Property?
SSS

16. Example 5
SIL   ? L A S I
 LAS
Property?
AAS

17. Example 6
RBI   ? R B G
 GBI
Property? HL I

18. MISSING PARTS
What information do you need to prove the following triangles are congruent by SAS? Q E W T R

19. MISSING PARTS
What information do you need to prove the following triangles are congruent by ASA? D F
63o G
63o A S

20. MISSING PARTS
What information do you need to prove the following triangles are congruent by AAS? Y T I U

21. MISSING PARTS
What information do you need to prove the following triangles are congruent by SSS? Y 6 B C 6 V

22. MISSING PARTS
What information do you need to prove the following triangles are congruent by HL? Q M H C