ABCD is a kite in which AB=AD and CB=CD. The diagonals intersect at O.
(i) Prove that △ABO≅△ADO.
(ii) List all pairs of equal sides and all pairs of equal angles that involve point O as a result of part (i).
(iii) Using the relations obtained in part (ii) along with the given equalities for the kite, prove that △CBO≅△CDO.
(iv) Deduce that one diagonal of the kite bisects the other at right angles.