In the figure, BC is the diameterof a circle with centre O. IfABand CD

1.	In the figure, BC is the diameterof a circle with centre O. IfABand CD are two chords suchthat seg ABprove that AB = CDc'<ーーーーーーーーフ/p11seg CD, thenContruction:Proof:
Answer» Join AD passing through O. Now in triangle ∆AOB and ∆ COD CO = OB ( radius) angle B = angle C ( Alternate angle) angle AOB = angle COD ( vertically opposite angle) By AAS rule ∆AOB and ∆ COD are congurent. By CPCT AB = CD

In the figure, BC is the diameterof a circle with centre O. IfABand CD are two chords suchthat seg ABprove that AB = CDc'<ーーーーーーーーフ/p11seg CD, thenContruction:Proof:

Answer»

Join AD passing through O.

Now in triangle ∆AOB and ∆ COD

CO = OB ( radius)

angle B = angle C ( Alternate angle)

angle AOB = angle COD ( vertically opposite angle)

By AAS rule ∆AOB and ∆ COD are congurent.

By CPCT AB = CD