1. Chapter 9, Section 5 Congruence

2. To be congruent: –corresponding parts (sides/ angles) have the same measure.

3. Congruency Statements A BC P T R 1. Corresponds to 2. Corresponds to 3. Corresponds to 4. Corresponds to 5. Corresponds to 6. Corresponds to

4. 3 Important Rules There are 3 ways to prove that triangles are congruent: Don’t forget… CONGRUENT means EQUAL!!!

5. Rule #1: SSS SIDE SIDE SIDE 88 8 8 6 6 IF ALL 3 SIDES ARE THE SAME, THE TRIANGLES ARE CONGRUENT

6. Rule #2: SAS SIDE ANGLE SIDE 8 8 66 IF THE TRIANGLES HAVE A COMMON ANGLE BETWEEN 2 SIDES OF THE SAME LENGTH, THE TRIANGLES ARE CONGRUENT

7. Rule #3: ASA ANGLE SIDE ANGLE 88 IF THE TRIANGLES HAVE A COMMON SIDE BETWEEN 2 ANGLES OF THE SAME MEASURE, THE TRIANGLES ARE CONGRUENT

8. MH GSA R 70 45 1. 2. 3. 4. 5. 6. 7. 8. Given that, complete the following. Part 1: Corresponding Parts:

9. A B C D E 1.________________ ________________ ________________ ________________by_________ ANGLE SIDE ANGLE THIS SHOWS CONGRUENCE Part 2: Congruency Statements List the congruent corresponding parts And write a congruence statement and reason for the triangles

10. J K L M 10.________________ ________________ ________________ ________________by_________ SIDE THIS SHOWS CONGRUENCE

11. Given that ; complete the following. 11. 12. 13. 14. 15. 16. H P K T B E W L

12. Explain why the pair of triangles is congruent. Then, find the missing measures. 17. C A B P R Q 24 42 30 42 y x These are congruent Triangles because of Angle Side Angle (ASA) ANGLE SIDE ANGLE