In a ΔABC, median AD is produced to X such that AD=DX. Prove that ABXC is a parallelogram.

Given,


In ΔABC,



AD is produced to X


AD=DX


In quadrilateral ABXC


AD=DX (Given)


BD = DC (given)


So diagonal AX and BC bisect eachother


Therefore ABXC is a parallelogram.


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