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

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

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

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

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

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

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

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

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

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