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Identify the correct paragraph proof for this two-column proof. Given: CDAC and BC A. It is given that line segments CD and AC are congruent,
Identify the correct paragraph proof for this two-column proof. Given: CDAC and BC A. It is given that line segments CD and AC are congruent, as well as line segments BC and CE. So, by the definition of congruence, the lengths of line segments CD and AC are equal, as well as BC and CE. By the Segment Addition Postulate, AC + CB = AB. It follows that by the Substitution Property of Equality, CD + CE = AB since AC = CD and BC = CE. Again, by the Segment Addition Postulate, CD + CE = DE. Therefore, by the Transitive Property of Equality, AB = DE. B. It is given that line segments CD and AC are congruent, as well as line segments BC and CE. So, by the definition of congruence, the lengths of line segments CD and BC are equal, as well as AC and CE. By the Segment Addition Postulate, AC + CB = AB. It follows that by the Substitution Property of Equality, CD + CE = AB since AC = CD and BC = CE. Again, by the Segment Addition Postulate, CD + CE = DE. Therefore, by the Transitive Property of Equality, AB = DE. C. It is given that line segments CD and AC are congruent, as well as line segments BC and CE. So, by the definition of congruence, the lengths of line segments CD and BC are equal, as well as AC and CE. By the Segment Addition Postulate, AC + CD = AB. It follows that by the Substitution Property of Equality, CE + BC = AB since AC = CE and BC = CD. Again, by the Segment Addition Postulate, CE + BC = DE. Therefore, by the Transitive Property of Equality, AB = DE
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