1. Conditions for Congruent Triangles
Lesson 6.8
Conditions for Congruent Triangles pp

2. Objectives: 1. To identify and prove the Side-Side- Side Theorem.
2. To use the four methods to prove triangle congruence.

3. Theorem 6.23
SSS Congruence Theorem. If each side of one triangle is congruent to the corresponding side of a second triangle, then the two triangles are congruent.

4. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

5. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

6. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

7. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

8. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

9. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

10. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

11. Identify the congruence theorem or postulate.
1. ASA
2. SAA
3. SAS
4. SSS
5. None
of these

12. Homework pp

13. ►A. Exercises
If ABC  XYZ, find the following measures.
1. mB = 75, find mY. A B C X Y Z

14. ►A. Exercises
If ABC  XYZ, find the following measures.
3. mC = 60, mA = 80, find mY. A B C X Y Z

15. ►A. Exercises
5. How do you know the answers you gave above are true?

16. SSS, SSA, SAS, SAA, ASA, and AAA
►A. Exercises
Consider the following six possible conditions for exercises 6-10.
SSS, SSA, SAS, SAA, ASA, and AAA
7. Sketch a triangle and then a larger
triangle with angles congruent to the
first triangle. Which conditions does
this disprove?

17. 7.

18. ■ Cumulative Review 21. Two parallel lines are not concurrent.
Match each statement to its type.
21. Two parallel lines are not concurrent.
A. Conditional B. Biconditional
C. Conjunction D. Disjunction
E. Negation

19. ■ Cumulative Review
Match each statement to its type.
22. A triangle is equilateral if and only if it is equilateral.
A. Conditional B. Biconditional
C. Conjunction D. Disjunction
E. Negation

20. ■ Cumulative Review
Match each statement to its type.
23. A square is a rectangle and a square is a rhombus.
A. Conditional B. Biconditional
C. Conjunction D. Disjunction
E. Negation

21. ■ Cumulative Review
Match each statement to its type.
24. If two lines are parallel, then corresponding angles are congruent.
A. Conditional B. Biconditional
C. Conjunction D. Disjunction
E. Negation

22. ■ Cumulative Review
Match each statement to its type.
25. a  b, a = b, or a  b (where a, b  {real numbers})
A. Conditional B. Biconditional
C. Conjunction D. Disjunction
E. Negation