Question

Prove that If Chords Of congruent Circles Subtend Equal Angles At their Centre, then The Chords are equal...​

Answer 1

Refer to the Attachment......

Answer 2

Answer:

Here, it is given that AOB = COD i.e. they are equal angles.

Now, we will have to prove that the line segments AB and CD are equal i.e. AB = CD.

Proof:

In triangles AOB and COD,

AOB = COD (as given in the question)

OA = OC and OB = OD (these are the radii of the circle)

So, by SAS congruency, ΔAOB ΔCOD.

∴ By the rule of CPCT, we have

AB = CD. (Hence proved).