Quadrilateral ABCD is drawn such that AB=CD and AD is a common side of △BAD and △CDA. It is also given that ∠BAD=∠CDA.
a. (i) Prove that △BAD≅△CDA.
b. (ii) Write any two equalities (of sides or angles) within quadrilateral ABCD that follow directly from the congruence established in part (i).