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Prove that if chords congruent circles …

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

Posted by Mahantesh Malabade 4 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Tee Kay 4 years, 9 months ago

Better draw a rough diagram

0Thank You

Tee Kay 4 years, 9 months ago

Statement: if the angles subtended by two chords are equal then the chords are equal Given: in a circle with origin O,two chords PQ and RS subtend equal angles to the centre. To prove: PQ=RS Proof: In triangles POQ and ROS, OP=OQ=OR=OS=radius (radii of the same circle) Angle POQ=ROS (given) Therefore, tri.POQ cogruent to tri.ROS (SAS rule) PQ= RS ( CPCT) HENCE PROVED

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