SOLUTION: Given: E is the midpoint of line segment AC and line segment BD Prove: line segment AB equals CD

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Question 1009713: Given: E is the midpoint of line segment AC and line segment BD
Prove: line segment AB equals CD
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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If in a quadrilateral the two diagonals bisect each other,  then the quadrilateral is a parallelogram.

This is Theorem 2 from the lesson Properties of diagonals of parallelograms in this site.