In a circle with centre O, two chords AB and CD are drawn.
Answer the following questions based on this information.
(i) Define (a) a chord of a circle and (b) a central angle of a circle.
(ii) State the theorem connecting equal chords and the central angles they subtend.
(iii) Explain, with reasons, why AB=CD implies ∠AOB=∠COD and why the converse statement also holds.