If the angle subtended by two chords of a circle at the centre are equal; the chords are equal.

If the angles subtended by two chords of a circle at the centre are equal,the chords are equal.

Theorem 10.2 : If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

IF the angle subtended by two chords of congruent circles at the corresponding centres are equal.

If the angles subtended by two chords of congruent circles at the corresponding centres are equal,the chords are equal.

Chords of a circle which are equidistant from the centre are equal.

If two arcs of a circle are congruent; then corresponding chords are equal

If angle subtended by any chord of a rectangular hyperbola at the centre is alpha and angle between the tangents at ends of chord is beta , then

If two chords of a congruent circle are equal; then their corresponding arcs.