KadanL193470 KadanL193470
  • 03-11-2022
  • Mathematics
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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 O with ABCDProve ABCD0 class=

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SameerL200944 SameerL200944
  • 03-11-2022

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

therefore, we can conclude:

[tex]\angle AOB\cong\angle COD[/tex]

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

[tex]AO\cong BO\cong CO\cong DO[/tex]

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