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Chapter 4.6 Notes: Use Congruent Triangles

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

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Chapter 4.6 Notes: Use Congruent Triangles

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  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

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