AD = AE-DE
BE = AE-AB
AB=DE, so
AD = AE-AB = BE
You can reword that using all the "congruents" instead of = signs.
Given:
Segment AB is congruent to Segment DE
Prove:
Segment AD is congruent to BE
Note: (for the illustration)
C is the midpoint of Segment AE, B is the midpoint of Segment AC and D is the midpoint of Segment CE.
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