Question

11. ABCD is a quadrilateral. The two parallelograms ABCE and BADF are drawn. Let
prove that, CD and EF bisect each other.​

Answer 1

answer:CD and EF are diagonals of quadrilateral CEFD

Diagonals of a parallelogram bisect each other hence if we proved that CEDF is a parallelogram then it would imply that EF and CD bisect each other

AB || EC and AB = EC … opposite sides of parallelogram ABCE … (i)

AB || DF and AB = DF … opposite sides of parallelogram ABDF … (ii)

Using (i) and (ii) we can conclude that

EC || DF and EC = DF

As two opposites side of quadrilateral CEDF are equal and parallel the quadrilateral is a parallelogram

And as CEDF is a parallelogram diagonals EF and CD bisects each other

Hence proved

Answer 2

Answer:

It is very very difficult