Conditions for Congruent Triangles Lesson 6.8 Conditions for Congruent Triangles pp. 251-255

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

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.

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

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

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

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

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

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

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

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

Homework pp. 254-255

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

►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

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

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?

7.

■ 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

■ 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

■ 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

■ 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

■ 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