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In the figure ABCD is a trapezium in whi...

In the figure ABCD is a trapezium in which side AB is parallel to side DC and E is the midpoint of side AD. If F is a point on the side BC such that the line segment EF is parallel to DC.Prove that Fis the mid-point of BC and `EF =1/2 (AB+DC)`

Text Solution

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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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