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Prove that the following statements are equivalent. A. The Euclidean parallel postulate holds. B. Given any...

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Basic Math

Prove that the following statements are equivalent. A. TheEuclidean parallel postulate holds. B. Given any triangle △ABC andgiven any segment DE, there exists a triangle △DEF having DE as oneof its sides such that △ABC ∼ △DEF (Wallis’ postulate on theexistance of similar triangles). (you cannot use measures)

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