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Within a circle or in congruent circles, congruent arcs have congruent chordsGiven : O with ABCDProve: ABCD0

Within a circle or in congruent circles, congruent arcs have congruent chordsGiven-example-1
User AXSM
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1 Answer

7 votes
7 votes

In a circle, or congruent circles, congruent central angles have congruent arcs.

therefore, we can conclude:


\angle AOB\cong\angle COD

By definition, all radii of a circle are congruent, since all the points on a circle are the same distance from the center, so:


AO\cong BO\cong CO\cong DO

User Logbahadur Gurkha
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