circles theorem by viyan garg

1. theorem of circle presented by - viyan garg IX-a submitted to nitin sir

2. theorem 1 equal chords of a circle subtend equal angles at the centre.

3. theorem 2 if the angles subtended by the chord of a circle at the centre are equal , then the chords are equal.

4. theorem 3 the perpendicular from the centre of a circle to a chord bisects the chord.

5. theorem 4 the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

6. theorem 5 equal chords of a circle are equidistant from the centre.

7. theorem 6 chords equidistant from the centre of a circle are equal in length.

8. theorem 7 there is one only circle passing through three given non - collinear points.

9. theorem 8 if two arcs of a circle or of congrunet circles are congruent , then corresponding chords are equal.

10. theorem 9 it two of a circle are equal , then their corresponding arcs are congruents.