Question

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

Answer 1

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:

$AO\cong BO\cong CO\cong DO$