Consider a circle with centre O. Two chords AB and CD are such that AB=CD.
Work through the tasks given below.
a. (i) Prove that ∠AOB=∠COD.
b. (ii) Conversely, if ∠AOB=∠COD, prove that AB=CD.
c. (iii) Using the results of (i) and (ii), write a concise statement describing the relationship between equal chords and equal central angles in a circle.