1. Congruence Postulates
Lesson 6.6
Congruence Postulates pp

2. Objectives:
1. To identify and use the Side-Angle- Side and Angle-Side-Angle postulates for congruence of triangles.
2. To use the definition of congruent triangles to prove parts of triangles congruent.

3. Postulate 6.2
SAS Congruence Postulate. If two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the two triangles are congruent.

4. A B C D E F
ABC  DEF

5. Postulate 6.3
ASA Congruence Postulate. If two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent.

6. J S H I Q R
HIJ  QRS

7. EXAMPLE 1
Given: LM  LO; MLN  OLN
Prove: LMN  LON M N O L

8. EXAMPLE 2
Given: LN bisects MLO and MNO
Prove: M  O M N O L

9. Homework pp

10. ►A. Exercises
Look at the markings on the triangles in each exercise and state which postulate you would use to prove that the two triangles are congruent. If neither of the postulates would apply as indicated by the markings, write neither.

11. ►A. Exercises 1.
1. SAS
2. ASA
3. Neither

12. ►A. Exercises 3.
1. SAS
2. ASA
3. Neither

13. ►A. Exercises 3.

14. ►A. Exercises 5.
1. SAS
2. ASA
3. Neither

15. ►A. Exercises 7.
1. SAS
2. ASA
3. Neither

16. ■ Cumulative Review 24. Perimeter
Express each distance as a number or algebraic expression.
24. Perimeter 5 x 3x

17. ■ Cumulative Review
Express each distance as a number or algebraic expression.
25. AB A B C x 8

18. ■ Cumulative Review 26. Perimeter
Express each distance as a number or algebraic expression.
26. Perimeter 4

19. ■ Cumulative Review 27. Circumference
Express each distance as a number or algebraic expression.
27. Circumference 3

20. ■ Cumulative Review 28. Circumference
Express each distance as a number or algebraic expression.
28. Circumference x 2x
3x – 1

21. ■ Cumulative Review
Express each distance as a number or algebraic expression.
29. AC
x+2 A B C