Answer
We know that when arcs are congruent, their corresponding chords are congruent as well.
Work Step by Step
Consider an arc an its corresponding chord in a given location. Since a circle is symmetric, we can rotate the arc and the chord around the circle without changing anything. Therefore, we find that as long as the length of the arc remains the same, the length of the chord remains the same, meaning that when arcs are congruent, their corresponding chords are congruent as well.
