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The diagonal B D of a parallelogram A B ...

The diagonal `B D` of a parallelogram `A B C D` intersects the segment `A E` at the point `F ,` where E is any point on the side `B C` . Prove that `D FxE F=F BxF Adot`

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Given: ABCD is a parallelogram
To Prove: `DF x FE = BF x FA `
In `△AFD and △BFE`
∠1 = ∠2 (alternate angles) ∠3 = ∠4 (vertically opposite angles)
...
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