Prove Equal chords of a circle subtend equal angles at the centre.

Prove Equal chords of congruent circles subtend equal angles at the centre.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Prove that equal chords of congruent circles subtend equal angles at their centre.

Prove that equal chords of congruent circles subtend equal angles at their centre.

Prove that if chords of congruent circles subtend equal angles at their centres, thenthe chords are equal.

r : Two chords of a circle subtend equal angles at centre if and only if they are equal. Statement r can be interpreted as

Equal chords of a circle are equidistant from the centre.

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If x+y=1 is a chord of x^(2)+y^(2)=1 , then alpha is equal to

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.