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4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 4.1 ­ 4.3 Quick Review: 1. Find a partner. 2. Take out one piece of paper to share. 3. Divide the paper into four even boxes. 4. Draw and label an example for each scenario below. 5. Trade with another group to check each others answers. SSS In each box, draw and label a pair of triangles that could be proven congruent ASA by the given theorem. SAS AAS Nov 26­7:46 PM 1 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 4.4 Using Congruent Triangles: CPCTC Objective: Use triangle congruence and CPCTC to prove that parts of two triangles are congruent. Nov 25­12:05 PM 2 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 Nov 25­12:06 PM 3 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 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 Nov 25­12:09 PM 4 4.4 Using Congruent Triangles CPCTC 2010 Statements November 01, 2010 Reasons Nov 25­12:09 PM 5 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 Example: Statements Reasons Nov 25­12:11 PM 6 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 Proof Nov 25­12:12 PM 7 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 Nov 25­12:12 PM 8 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 About how wide was the river if the officer stepped off 20 paces and each pace was about 2 1/2 feet long? Nov 25­12:12 PM 9 4.4 Using Congruent Triangles CPCTC 2010 November 01, 2010 Homework: page 222 (1 ­ 8, 14, 26, 27) Nov 25­12:24 PM 10