1. 4-4 and 4-5: Congruent Triangle Theorems

2. In order for two triangles to be congruent, ALL 3 corresponding sides must be congruent, and ALL 3 corresponding angles must be congruent.

3. BUT, this would take forever, so there are some short-cuts:
SSS – Side-side-side – prove the 3 corresponding sides congruent.
SAS – Side-angle-side – prove two sides and the included angle are congruent.
ASA – Angle-side-angle – prove two angles and the included side are congruent.
AAS – Angle-angle-side – prove two angles and a side congruent. (The side is not included.)

4. Remember: There is no AAA or ASS.

5. Tell which triangles are congruent
Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent?
EX 1: EX 2:

6. Tell which triangles are congruent
Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent?
EX 3: EX 4: T R G O H

7. Tell which triangles are congruent
Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent?
EX 5: EX 6:

8. Assignment: