Question

In parallelogram ABCD , M & N are midpoints of sides AB & DC. Prove that

AMND is a parallelogram



step by step explaination:





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Answer 1

name the vertices of paralleogram with ABCD either in clock wise or anticlock wise direction .

given M and N are mid points of AB and CD respectively.

Though paralleogram looks different from rectangle, both are same when it come to the length of opposite sides.

so if we connect M and N , MN line becomes parallel to one of the side. Hence it becomes a paralleogram.

Sorry I dont know if there is any mathematical proving for this