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Using Congruent Triangles Part 1 Keystone Geometry 11/08/2013.

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Presentation on theme: "Using Congruent Triangles Part 1 Keystone Geometry 11/08/2013."— Presentation transcript:

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2 Using Congruent Triangles Part 1 Keystone Geometry 11/08/2013

3 Proof Format When using CPCTC to prove that corresponding parts of a triangle are congruent, we use the same general format: o Determine the 3 pieces of congruency based on the given information and the diagram o Determine what the two congruent triangles are and the method of congruence o Use CPCTC to prove the corresponding parts.

4 Complete the following proof: StatementsReasons 3. DF = DF 4. ∆ = ∆ 5.

5 Complete the following proof: StatementsReasons 1. PR=SR; PQ=SQ1. Given 2. QR=QR2. Reflexive 3. ∆PQR= ∆SQR3. SSS Postulate 4. CPCTC

6 Complete the following proof: StatementsReasons 1. Given 2. AC=CD2. Def. of a Midpt. 3. Vertical Angles 4. ∆ABC= ∆DEC4. ASA Postulate 5. BC=EC5. CPCTC

7 Complete the following proof: StatementsReasons 1. WY┴ XZ; XY=YZ1. Given 2. If 2 lines are perp. then they form = adj. <s 3. WY=WY3. Reflexive 4. ∆XYW= ∆ZYW4. SAS Postulate 5. CPCTC


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