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4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 4.4 Using Congruent Triangles: CPCTC Objective: Use triangle congruence and CPCTC to prove that parts of two triangles are congruent. 1 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 Warm­up: 2 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 Review: You can use three parts of triangles to show that triangles are congruent with SSS, SAS, ASA, and AAS. Once you know triangles are congruent, you can make conclusions about the remaining parts because, by definition, corresponding parts of congruent triangles are congruent. CPCTC 3 4.4 Using Congruent Triangles CPCTC 2011 Statements November 10, 2011 Reasons 4 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 Example: Statements Reasons 5 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 Proof 6 4.4 Using Congruent Triangles CPCTC 2011 slide November 10, 2011 slide 7 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 About how wide was the river if the officer stepped off 20 paces and each pace was about 2 1/2 feet long? 8 4.4 Using Congruent Triangles CPCTC 2011 November 10, 2011 Homework: page 222 (1 ­ 8, 14, 26, 27) 9