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In the figure LMNO, is a trapezium in wh...

In the figure LMNO, is a trapezium in which LM is parallel to side ON and P is the mid point of side LO. If Q is a point on the side MN such that segment PQ is parallel to side ON Prove that Q is the mid point of MN and `PQ=1//2(LM+ON)`.

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

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Knowledge Check

  • In parallelogram ABCD, if P is the mid-point of side AB, then

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    D
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    `x^(2)-2xy-8=0`
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    D
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