Question

Theorem of circle of class 9

Answer 1

Theorem1 . Equal chords of a circle subtend equal angles at centre.
2. if the angles subtended by the chords of a circle at the centre are equal , then the chords are equal.
3The perpendicular from the centre of a circle to a chord bisecta the cord.
4. the line drawn through the centre to bisect a cord is perpendicular to the chord
5 there is only one circle passing through three given noncollinear points
6. Equal chord are equidistant from centre
they are also equal in length
7angles in the same segment are eqal

Answer 2

Answer:

Theorem 1: Equal chords of a circle subtend equal angles at the centre.

Theorem 2 : If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

Theorem 3 : The perpendicular from the centre of a circle to a chord bisects the chord.

Theorem 4 : The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

Theorem 5 : There is one and only one circle passing through three given non-collinear points.

Theorem 6 : Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).

Theorem 7 : Chords equidistant from the centre of a circle are equal in length.