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CBSE Class 9 Answered

How do we prove the following theorem step by step:-
1.if two arcs of a circle are congruent , then the corresponding chords are equal.
2. If two chords of a circle are equal, then their corresponding arcs are congruent.

Asked by nikhil | 28 Jan, 2016, 03:51: PM
answered-by-expert Expert Answer
 
begin mathsize 14px style G i v e n colon space A r c space L M space approximately equal to A r c space P Q C o n s i d e r space triangle L O M space a n d space triangle P O Q comma S e g m e n t space O L equals S e g m e n t space O Q space a n d space S e g m e n t space O M space equals space S e g m e n t space O P space space space..... left parenthesis r a d i i space o f space t h e space s a m e space c i r c l e right parenthesis angle L O M equals angle P O Q space space space space space..... left parenthesis a r c space l e n g t h s space o f space t w o space a r c s space a r e space e q u a l space t h e n space t h e y space s u b t e n d space s a m e space c e n t r a l space a n g l e right parenthesis rightwards double arrow space triangle L O M space approximately equal to space triangle P O Q rightwards double arrow S e g m e n t space L M equals S e g m e n t space P Q i. e. comma space c h o r d space L M space equals space C h o r d space P Q space space..... left parenthesis p r o v e d right parenthesis  P l e a s e space p o s t space o n e space q u e y space a t space a space t i m e. end style
Answered by Rashmi Khot | 02 Feb, 2016, 11:45: AM

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