Step-by-step explanation:

Given

Given AB = CD i.e. two equal chords.

Given AB = CD i.e. two equal chords.To Prove

Given AB = CD i.e. two equal chords.To Prove AB = CD

Given AB = CD i.e. two equal chords.To Prove AB = CDProof

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOC

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOCSo, by SAS congruency,

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOCSo, by SAS congruency,ΔAOB ≅ΔCOD

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOCSo, by SAS congruency,ΔAOB ≅ΔCOD∴ By CPCT we get

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOCSo, by SAS congruency,ΔAOB ≅ΔCOD∴ By CPCT we getAB=CD

Given AB = CD i.e. two equal chords.To Prove AB = CDProof From ΔAOB and ΔCOD,OA = OC and OB = OD (Radii of circle)∠AOB = ∠DOCSo, by SAS congruency,ΔAOB ≅ΔCOD∴ By CPCT we getAB=CDHence proved

Verified answer

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).