Chords and Arc Relationships

Given circle O, the arcs AB and CD must be congruent.

Given circle O, arcs WX and YZ must be congruent.

Given circle O, if arcs GH and JK are congruent, what is the measure of angle KOJ?

Given circle O, if arcs AB and BC are congruent, what is the measure of angle BOC?

Given circle O, if arcs WX and YZ are congruent, what is the measure of chord YZ?

Given circle O, if arcs GH and HJ are congruent, what is the measure of chord HJ?

Two arcs are congruent if they have the same measure and they belong to ________ or to __________.

(Check all that apply)

Two arcs of a circle are congruent if and only if their associated radii are congruent.

Two chords in the same circle are congruent if and only if the associated central angles are congruent.

If chord XY if congruent to chord YZ, what is the measure of angle YOZ?