Congruent Corresponding Chords Theorem

Theorem 10.6​
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

Perpendicular Chord Bisector Theorem

If one chord of a circle is a perpendicular bisector of another chord, then the first chord is a diameter.

Perpendicular Chord Bisector Theorem Converse

Equidistant Chords Theorem

In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center
In the image: EF=EG