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in Quadrilaterals by (88.7k points)
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Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other

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Best answer
`/_ABD`
S and P are mid point of AD and AB
PS=1/2BD, PS||BD -(1)
`/_BCD`
Q and R are mid point of BC and CD
QR=1/2BP,QR||BD -(2)
PS=QR,PS||QR
PQRS is a parallelogram
PT=TR
ST=TQ
Hence Proved.

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