Arshad has five measurements of a quadrilateral ABCD. These are and . Can he construct a unique quadrilateral? Give reasons for your answer.
No, he cannot construct a unique quadrilateral. The given measurements consist of 2 adjacent sides, the angle between these sides and 2 diagonals. It is not one of the specific combinations to construct a quadrilateral.
Moreover, on trying to construct using these, we find that the vertex C is not fixed and can be varied. Hence, the quadrilateral is not unique.