Prove that the right bisector of a chord of a circle, bisects the corresponding arc or the circle.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

Prove that the diameter is the greatest chord in a circle.

Prove that the diameter is the greatest chord in a circle.

A diameter of a circle is a chord that ..... the centre of the circle.

If two equal chords of a circle in intersect within the circle, prove that : the segments of the chord are equal to the corresponding segments of the other chord. the line joining the point of intersection to the centre makes equal angles with the chords.

Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

If two equal chords of a circle in intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord.

If two equal chords of a circle intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord.

If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2r, then the angle of the corresponding of the other circle. Is this statement false ? Why ?