Points A, B, C and D are arranged in a straight line in the order A–B–C–D such that AB=BC=CD. On the same side of BC, two triangles △ABC and △DCB are formed with the following information:
• AB=DC
• ∠ABC=∠DCB
Answer the following questions.
(a) Prove that △ABC≅△DCB. Give all necessary steps of reasoning.
(b) State clearly the congruence criterion used in part (i).
(c) List all pairs of equal sides and equal angles that follow from the congruence proved in part (i).