Math, asked by revanthraju2008, 18 days ago

Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.​

Answers

Answered by hardiksharma50
0

Answer:

Step-by-step explanation:

AB = CD i.e. two equal chords.

To Prove

AB = CD

Proof

From ΔAOB and ΔCOD,

OA = OC and OB = OD (Radii of circle)

∠AOB = ∠DOC

So, by SAS congruency,

ΔAOB ≅ΔCOD

∴ By CPCT we get

AB=CD

Hence proved

Answered by gokkul2
0

Answer:

In △AOB and △PXQ

AO=PX                 [Radius of congruent circles are equal]

∠AOB=∠PXQ    [Given]

BO=QX                [Radius of congruent circles are equal]

△AOB≅△PXQ           [SAS congruence rule]

∴AB=PQ       [CPCT]

Hope this answer will help you pls mark as brainliest

Similar questions