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Given: A rhombus is a quadrilateral with 4 congruent sides. Prove: If quadrilateral ABCD does not have 4 congruent sides, then it is not a rhombus. Determine the first step to prove this statement using proof by contradiction.

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spammyrach
Assume ABCD does not have 4 congruent sides and is a rhombus

A rhombus is by definition a quadrilateral all of whose sides are congruent (have the exact same length). To prove by contradiction, you have to assume that a quadrilateral ABCD does not have 4 congruent sides and is a rhombus, because that is against the definition.

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