1. Congruent Triangles Objective: Identify and solve problems that involve congruent triangles.

2. Corresponding Angles (Corr.  s) Corresponding angles are congruent

3. Consecutive Interior Angles (Consec. Int.) Sometimes called Same-Side Interior Angles (S-S Int) Consecutive/Same-side interior angles are supplementary (add to 180)

4. Alternate Interior Angles (Alt.Int.) Alternate interior angles are congruent

5. Alternate Exterior Angles Alternate exterior angles are congruent

6. AnglesName of angles Measure of angles ∠ 1 & ∠ 7 ∠ 4 & ∠ 5 ∠ 7 & ∠ 4 ∠ 8 & ∠ 6 ∠ 3 & ∠ 4 ∠ 5 & ∠ 1 ∠ 6 & ∠ 4 a b 12 34 56 87

7. CongruenceExample SSS – SAS- ASA- A B C F E D X Y Z Q R P M N P R P Y Side – Side- Side Side – Angle- Side Angle – Side- Angle

8. CongruenceExample AAS- HL - X F T R P Y Angle – Angle- Side Hypotenuse – Leg A B C D

9. A B C W X D Z Q R P Y Determine whether the triangles are congruent by SSS, SAS, ASA or AAS. 1.2. 3.4. S T A B D C V

10. A BC D I F E G H Determine if the triangles are congruent. If so, tell why and write a congruence statement. 5. 6. 7. 8. 9. 10. ZN // DK L K J M N O P RS TU V W X Examples Z N P D K