1. Chapter 4.6 Notes: Use Congruent Triangles Goal: You will use congruent triangles to prove that corresponding parts are congruent.

2. Properties of Congruent Triangles A D B C E F What pairs of angles and sides are congruent? __________________________________________ __________________________________________

3. Using CPCTC: Once you know that triangles are congruent, you can make conclusions about corresponding sides and angles because Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Ex.1: Suppose you know that by SAS. Which additional pairs of sides and angles are congruent by CPCTC? A B 1 2 D 4 C

4. Ex.2: Explain how you can prove that Ex.3: Complete the proof. Given: Prove: A D 1 2 C B E

5. Ex.4: Complete the proof. Given: bisects Prove: F K G H

6. Ex.5: Complete the proof. Given: Prove:

7. Ex.6: Complete the proof. Given: Prove:

8. Ex.7: Complete the proof. Given: Prove: O N P M Q