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

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

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