SOLUTION: In ABCD, line segments AC and BD divide each other in half at E. Prove that angle DBC is congruent to angle BDA .

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Question 999297: In ABCD, line segments AC and BD divide each other in half at E. Prove that angle DBC is congruent to angle BDA .
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
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If in a quadrilateral two diagonals bisect each other,  then the quadrilateral is a parallelogram.

For the proof see the lesson  Properties of diagonals of parallelograms  in this site.