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Given: B is the midpoint of AC and D is the midpoint of CE
Prove: AB + DE = BD

User Kelz
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Answer:

See below

Explanation:

B is the midpoint of AC

D is the midpoint of CE The points are in this order on the segment.

A B C D E

AB = BC Definition of midpoint

DE = CD Definition of midpoint

AB + DE = BC + CD Addition

BC + CD = BD Addition of the segment

AB + DE = BD Substitution

User Yoann Chambonnet
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