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Parallelograms
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Sufficient Conditions for Quadrilaterals to Be Parallelograms

You can now use the conditions for parallelograms to prove that a quadrilateral is a parallelogram.

Example
Given: Quadrilateral FORW is a parallelogram.
L is the midpoint of FO ___ .
E is the midpoint of WR ___ .
Prove: Quadrilateral FLRE is a parallelogram.


Solution
Proof: