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Warm Up

Week 5. Warm Up. 11.14.11. Can the theorems be used to prove triangle congruency?. 1) ASA. 2) SAS. 3) SSA. Rule 1. Place congruency marks as you prove. B. E. Ex 1. C. F. A. D. ≅. Given:. ∠A ≅ ∠D. Given:. CPCSC. Corresponding Parts of Congruent Shapes are Congruent. C.

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Warm Up

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  1. Week 5 Warm Up 11.14.11 Can the theorems be used to prove triangle congruency? 1) ASA 2) SAS 3) SSA

  2. Rule 1 Place congruency marks as you prove. B E Ex 1 C F A D ≅ Given: ∠A ≅∠D Given:

  3. CPCSC Corresponding Parts of Congruent Shapes are Congruent C B F G Ex 2 Given: ABCD ≅ EFGH H E A D Statement Reason ∠A ≅∠E CPCSC

  4. B C Ex 3 ∥ A D Given: ∥ Given: Prove: ∆ABD ≅ ∆CDB ∠ADB ≅ ∠CBD Alternate Interior Angles Theorem ∠ABD ≅ ∠CDB Alternate Interior Angles Theorem Reflexive Property of Congruence ≅ ∆ABD ≅ ∆CDB ASA

  5. Given: Given: A is midpoint of A is midpoint of Ex 4 M R A Prove: ∥ ∥ S T Given A is midpoint of and Definition of midpoint ≅ , ≅ ∠MAS ≅ ∠TAR Vertical Angles Theorem (2.6) SAS ( P19 ) ∆MAS ≅ ∆TAR CPCSC ∠SMA ≅ ∠RTA Alternate Interior Angles Converse ( T3.8 )

  6. Prove: ≅ Do: 1 N P L M Q Assignment: Textbook Page 232, 4 - 10 all and 14.

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