SOLUTION: Given: segment AC bisects segment DB Given: segment DB bisects segment AC Given: CE = BE Prove: segment AE is congruent to segment DE

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Question 1196788: Given: segment AC bisects segment DB
Given: segment DB bisects segment AC
Given: CE = BE
Prove: segment AE is congruent to segment DE
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Not true --- so of course it can't be proved.

AC and BD bisecting each other means ABCD is a parallelogram.

Point E is not defined; we only know that CE=BE, which means E is somewhere on the perpendicular bisector of side BC.

But in the general case -- even if E is the midpoint of BC -- it is NOT true that AE and DE are congruent.