Question: Given: AE = BD ; CD = CE E Prove: AC = BC D A 1) AE = BD ; CD = CE . 1)

Given: AE = BD ; CD = CE E Prove: AC = BC D A 1) AE = BD ; CD = CE . 1) Given 2) AE = AC+ CE 2) Segment Addition Postulate . 3) AC + CD = BD . 3) Symmetric Property of Equality . 4' BD = AC + CD 4) Transitive Property of Equality . 5) BD = BC + CD 5) Segment Addition Postulate 6) AC + CD = BC + CD . 6) Subtraction Property of Equality AC = BC 7) Substitution Property of Equality

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