# Prove that if 2 chords of congruent circles subtend equal angles at their centres, then the chords are equal.

2
by Apparna

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by Apparna

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two circle are congruent means there radius are equal,r=R

join the chords with corresponding center.It will become a triangle,whose two side are of radius and other one is a chord

by looking two circle simultaneously

for C1 for C2

r = R

r = R

angle are same as given

by SAS congruncy .two triangle are congruent

Hence cord are equal by CPCT