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.