prove that if chords of congruent circles subtend to equal angles at the centre then the chords are equal
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Answer:
Step-by-step explanation:
If the radius of two circles is equal then they are called congruent.
So in given figure
In triangle ABO & PQO
OA=OP(radii)
Angle AOB=Angle POQ(given)
OB=OQ(radii)
By SAS
Triangle ABO Is congruent to PQO
By CPCT
AB=PQ
Hence, proved.
#Pari here…
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If the radius of the two circles is equal then they are congruent.
So in the given figure,
In triangle ABO & PQO
OA = OP (radii)
Angle AOB = Angle POQ (given)
OB = OQ (radii)
By SAS
Triangle ABO is congruent to PQO
By CPCT
AB = PQ
Hence, Proved
hope it’s help you