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iF C is the midpoint of BD and D is the midpoint of CE. Prove BD=CE

iF C is the midpoint of BD and D is the midpoint of CE. Prove BD=CE

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Answer #1

Given: C is the midpoint of BD; D is the midpoint of CE.

By the definition of midpoints, C divides BD into equal segments BC and CD, and D divides CE into equal segments CD and DE. In other words, BC = CD andCD = DE.

By the addition property of equality: CD + BC = CD + DE, or BC + CD = CD + DE.

By the segment addition postulate: BD = CE (quod erat demonstratum)

∴ BD = CE

answered by: Chrystal-Jhean
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