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In Figure, A B C D isa trapezium in whic...

In Figure, `A B C D` isa trapezium in which side `A B` is a parallel to side `D C` and `E` is the mid-point of side `AD` If `F` is a point on the side `B C` such that the segment `E F` is parallel to side `D C` . Prove that `F` is the mid point of `B C` and `EF=1/2(AB+DC)dot`

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in `/_ ADC`
`(AE)/(ED) = (AM)/(MC)`
`M` is the mid point of AC
`AB || DC || EF`
`EF || DC`
`EM || DC`
so,`AB || EF`
`AB || MF`
...
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