1. Triangle Congruence
Obj: learn all the ways to prove triangles are congruent
To Identify- SSS, AAS, SAS, or ASA

2. Definitions Congruent Triangles- triangles w/ same size and shape
Transformations- Dilate, slide, flip or turn
Congruence transformations- transformations that do not change the congruence (slide, flip or turn)

3. Corresponding Parts of Congruent TrianglesM R Q P
L  P
N  R
M  Q

4. Definition of Congruent Triangles (CPCTC)
Two triangles are congruent if and only if their corresponding parts are congruent.

5. Example: Draw and label the picture, and find x O A G D T C 14 18 21

6. Theorem:
Congruence of triangles is reflexive, symmetric, and transitive

7. Side Side Side (SSS)
Where you show all corresponding sides of a triangle are congruent to the corresponding sides of another triangle.
One way to prove 2 triangles are congruent

8. Side Angle Side - (SAS)
If 2 sides and an included angle of 1 triangle are congruent to 2 sides and included angle of another triangle, then triangles are congruent
Notice: The angle is between the 2 sides

9. Angle Side Angle -(ASA)
If 2 angles and an included side of 1 triangle are congruent to 2 angles and included side of another triangle, then the triangles are congruent.
Notice: The side is between the angles

10. AAS - (Angle Angle Side)
If 2 angles and a non-included side of 1 triangle are congruent to the corresponding 2 angles and side of a 2nd triangle, then the 2 triangles are congruent
Notice: Side is not included!!!

11. Recap of Showing Triangles Congruent
SSS
SAS
AAS
ASA
ASS
Just say "No" to

12. Proof: Statement Justification C A E 2 1 D B 1.) Given
2.) Definition of vertical angles
3.) Definition of bisector
4.) ASA
5.) CPCTC

13. Your Turn: 3.) reflexive 4.) SAS S T P R 2 1 Statement Justification
1.) Given
3.) reflexive
4.) SAS

14. Homework Skills: Pg 236 1 – 9, 16 Pg 243 1 – 15 odd, 20, 21
Proofs Pg
Pg – 29 Pg