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Congruent Circles and Arc...

Congruent Circles and Arc

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If two arcs of a circle (or of congruent circles) are congruent,then corresponding chords are equal.

Write the following statements in conditional form, "chords, which are equidistant from the centers of congruent circles, are congruent."

If two chord of a circle (or of congruent circles) are equal,then their corresponding arcs.(minor,major or semi-circular) are congruent.

In two congruent circles with centres O and O', if arc AXB subtends an angle of 75^(@) at the centre O and arcA'YB' subtends an angle of 25^(@) at the center O, Then find the ratio of arcs AXB and A'YB'

Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.

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

Equal chords of congruent circles are equidistant from the corresponding centres.

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

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

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