diagonals intersecting at F. FE is parallel to CD. AC is extended to P so that PC = 2AC and AD is extended to Q so that DQ = 2AD. Prove that E is the midpoint of AD without using the midpoint theorem.

Elementary Geometry For College Students, 7e
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ABCD is a parallelogram with diagonals intersecting at F. FE is parallel to CD. AC is extended to P so that PC = 2AC and AD is extended to Q so that DQ = 2AD.

Prove that E is the midpoint of AD without using the midpoint theorem. 

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