Question

In a traingle ABC median AD is produced to X such that AD=DX Prove that ABXC is a parallelogram

Answer 1

it is given that AD is a median the BD=CD
also AD=DX (given)
then it means that BC and AX which are the 2 diagonals of quadrilateral ABXC bisect each other at D
since the diagonals bisect each other then it is a parallelogram