What are chords and circles?
Write all theorems relating to both.
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Circle: a circle is the set of points which are at the same distance from a fixed point in the plane.
Chord: a line which intersect any two points of circle but it is not a diameter.
Theorem related to it:
1) congruent chords of a circle subtend congruent angles at the centre of the circle.
2) If angles subtended by two chords at the centre of circle are congruent , then chords are congruent.
3) If a perpendicular is drawn to a chord from centre of the circle,then it bisects chord.
4) if a line from the centre of a circle bisects the chord, then it is perpendicular to the chord.
5) there is a unique circle passing through three distinct non collinear points.
Chord: a line which intersect any two points of circle but it is not a diameter.
Theorem related to it:
1) congruent chords of a circle subtend congruent angles at the centre of the circle.
2) If angles subtended by two chords at the centre of circle are congruent , then chords are congruent.
3) If a perpendicular is drawn to a chord from centre of the circle,then it bisects chord.
4) if a line from the centre of a circle bisects the chord, then it is perpendicular to the chord.
5) there is a unique circle passing through three distinct non collinear points.
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