Quadrilaterals!Geometry Level 3
Once, while casually discussing Quadrilaterals, a dispute arose between two friends, A and B.
A: Once, I saw a square formed from the midpoints of the sides of another quadrilateral. And the interesting thing is that the outer quadrilateral wasn't a square!!
B: Aha! I caught you! It's impossible to make a square from the midpoints of the sides of another quadrilateral until and unless the outer quadrilateral is a square. I can prove it.
A: I can prove my point too.
B: So, let us go to my home, and see you lose.
They both went to B's home and resolved their confusion. Who must have won the argument?