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From Karnataka Open Educational Resources
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===Notes for teachers===
 
===Notes for teachers===
A chord is a straight line joining 2 points on the circumference of a circle. Chords within a circle can be related many ways. The theorems that involve chords of a circle are :
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# A chord is a straight line joining 2 points on the circumference of a circle.  
Perpendicular bisector of a chord passes through the center of a circle.  
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# Chords within a circle can be related in many ways.  
Congruent chords are equidistant from the center of a circle.  
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# The theorems that involve chords of a circle are :
If two chords in a circle are congruent, then their intercepted arcs are congruent.  
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* Perpendicular bisector of a chord passes through the center of a circle.  
If two chords in a circle are congruent, then they determine two central angles that are congruent.  
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* Congruent chords are equidistant from the center of a circle.  
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* If two chords in a circle are congruent, then their intercepted arcs are congruent.  
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* If two chords in a circle are congruent, then they determine two central angles that are congruent.
    
===Activity No 1[Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.] ===
 
===Activity No 1[Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.] ===
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