Posted by Anonymous on .
Rudransh has a piece of cardboard in shape of a quadrilateral.
He cuts it into two triangles such that angles formed at the
vertices are bisected. He wants to find out whether the two
triangles are congruent or not without actually super positioning
them on one another.

mathsurgent 
Steve,
I'm pretty sure that such a quadrilateral would have to be a rhombus. In that case, the triangles would be congruent (SSS).