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M and N are the mid points of the non parallel sides of a trapezium PQRS. Prove that mN is parallel to PQ.

oh cmon rules should be the same for both
o,will not repeatk
well i need to go
i cna be online tomorrow morning


Join sq and mn. let them intersect at o,
let o' be the M.P. of sq
in tri. spq, m and o' of sides sp and sq
i.e,mo' // pq (m.p.t)
llly, o'n//sr,
now, sr//pq
so, o'f//pq
hence, mo'n is a straght line
that is o' = o(the point of intersection)
i.e. o is the mid point of sq
therefore, mn//pq

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