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Geometry 3-2PropertiesofParallelLines Name_______________________________ Date________________________A#4 Goal:Proveanduseresultsaboutparallellinesandtransversals Theorem/PostulateandShort Text Write CorrespondingAnglePostulate Iftwoparallellinesarecutbya transversal,then AlternateInteriorAngles Iftwoparallellinesarecutbya Theorem transversal,then AlternateExteriorAngles Iftwoparallellinesarecutbya Theorem transversal,then ConsecutiveInteriorAngles Theorem Iftwoparallellinesarecutbya transversal,then ConsecutiveExteriorAngles Iftwoparallellinesarecutbya Theorem transversal,then Conclusionfrom diagram Geometry 3-2PropertiesofParallelLines A#4 2 Geometry 3-2PropertiesofParallelLines ProveAlternateExteriorAnglesTheorem A#4 Statements Reasons a. a. b. b. c. c. d. d. ProveAlternateInteriorAnglesTheorem Given: j || k Prove: ∠1 ≅ ∠2 Statements Reasons a. a. b. b. c. c. d. d. 3