Question

theorem 10.2 class 9

Answer 1

Hey mate your answers are here.
theorem 10.2 says that if the angles subtended by the chords of a circle at the centre and equal then the chords are equal ...

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Answer 2

Given : theorem 10.2 class 9

If Angle subtended by chord at center are equal then chords are equal

To Find : Prove

Solution:

Let say AB and CD are two chords

where ∠AOB = ∠COD

now comparing

ΔAOB and ΔCOD

AO  = CO     Radius

∠AOB = ∠COD   Given

OB  =  OD    Radius

=> ΔAOB ≅ ΔCOD   ( SAS)

Hence  AB = CD

QED

Hence proved

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