Question

then. prove that it ha nectangle
Prove that two equal chords of a
circle are equidibant
from the centre.​

Answer 1

Given : A circle have two equal chords AB and  CD.

AB=CD and OM perpendicular to AB, ON  perpendicular to CD  

To Prove : OM=ON  

Proof : AB=CD (Given)  

∵ the perpendicular drawn from the centre of a circle to bisect the chord  

∴21AB=21CD 

⇒BM=DN   

In △OMB and △OND  

∠OMB=∠OND=900 [Given]  

OB=OD [Radii of same circle]   

Side BM= Side DN [Proved above]  

∴△OMB≅△OND [By R.H.S.]  

∴OM=ON [By C.P.C.T]  

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