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Triangle Proofs Directions: Please complete each proof by supplying the missing statements and/or reasons. Remember that the statements must have a valid reason which may include definitions, theorems, and/or postulates. Not Used AAS ? Z is the midpoint of AY ? ∆ XYZ ? <AZB ≅ <XZY < Given: XY ll AB and Z is the midpoint of AY Prove: ∆XYZ≅∆BAZ statement AZ ≅ ≅ XY ? A ? ∆ ≅ ll BAZ ? < Y AB ? YZ ? defn of Given ? Given ? Vertical ? AIA ? ASA ? reason ≅ midpoint <s are ≅ Not Used <B and <D are right angles ASA ? ∆ ABC ? < Given: <BAC ≅ <ACD<B & <D are right anglesProve: ∆ABC ≅ ∆CDA BAC ? statement AC ? ≅ <B ≅ <D ∆ ≅ ≅ <ACD CDA ? AC ? Reflexive Property Right < Congruence Given ? Given ? AAS ? reason Given: WY ≅ XZ and<ZXY ≅<WYXProve: WX ≅ ZY Not Used ASA ? < ∆ WXY ≅ ∆ ZXY ? statement WY ? WX ? ≅ XY ≅ XY < ≅ ≅ WYX ? ZYX ? ZY ? XZ ? Reflexive Property ? Given ? Given ? reason SAS ? CPCTC ? |