2. If ABCD is a convex quadrilateral, then we shall say it is kite-shaped with respect to the diagonal AC if |ABI = IADI and CBI = ICDI. Suppose that A'B'C'D' is also a convex quadrilateral which is kite-shaped with respect to the diagonal A' C. For each of the following sets of assumptions, either prove that the two quadrilaterals are classically congruent or construct a pair of counterexamples which satisfy the given assumptions but are not classically congruent: (a) ABI = A'B'1, IZABCI = 1 ZA'B'C'1 and IBC) = |B'C'I. (b) ABI = IA'B), IZBACI = 1 ZB'A'CI and IBCI= |B'C'1. (Hints: For the vertices B and D, what can we say about the associated vertex angles? Prove your conclusion.)