Proving Parts of Triangles using CPCTC

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Presentation transcript:

Proving Parts of Triangles using CPCTC Section 4.3 cont.

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

Complete the following proof: Statements Reasons DF bisects <EDG DE = DG 2. <1 = <2 3. DF = DF 4. ∆ = ∆ 5.

Complete the following proof: Statements Reasons 1. PR=SR; PQ=SQ 1. Given 2. QR=QR 2. Reflexive 3. ∆PQR= ∆SQR 3. SSS Postulate 4. <P=<S 4. CPCTC

Complete the following proof: Statements Reasons 1. C is the midpoint of AD; <A=<D 1. Given 2. AC=CD 2. Def. of a Midpt. 3. <ACB=<DCE 3. Vertical Angles 4. ∆ABC= ∆DEC 4. ASA Postulate 5. BC=EC 5. CPCTC

Complete the following proof: Statements Reasons 1. WY is perp. To XZ; XY=YZ 1. Given 2. <XYW=<ZYW 2. If 2 lines are perp. Then they form = adj. <s 3. WY=WY 3. Reflexive 4. ∆XYW= ∆ZYW 4. SAS Postulate 5. <X=<Z 5. CPCTC