1. 4.4 Proving triangles using ASA and AAS

2. Angle-Side-Angle (ASA)  postulate
If 2 s and the included side of one Δ are  to the corresponding s and included side of another Δ, then the 2 Δs are .

3. B (( C )
If A  Z, C  X and seg. AC  seg. ZX, then Δ ABC  Δ ZYX. A Y ( Z )) X

4. Angle-Angle-Side (AAS)  theorem
If 2 s and a non-included side of one Δ are  to the corresponding s and non-included side of another Δ, then the 2 Δs are .

5. If A  R, C  S, and seg AB  seg QR, then ΔABC  ΔRQS.)
If A  R, C  S, and seg AB  seg QR, then ΔABC  ΔRQS. (( C S )) Q ) R

6. Examples Is it possible to prove the Δs are ?( ) )) )) (( ) ( ((
No, there is no AAA theorem!
Yes, ASA

7. THERE IS NO AAA OR SSA

8. Example Given that B  C, D  F, M is the midpoint of seg DF
Prove Δ BDM  Δ CFM B C ) ) (( )) D M F

9. Example X ) (( W Z (( ) Y Given that seg WZ bisects XZY and XWY
Show that Δ Δ WZY X ) (( W Z (( ) Y

10. Once you know that Δs are , you can state that their corresponding parts are .

11. CPCTC CPCTC-corresponding parts of @ triangles are @.
Ex: G: seg MP bisects LMN, seg seg NM
P: seg seg NP P N L ) ( M