1. In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.
2. The relationship between equality of the measures of chords and equality of the measures of their corresponding minor arcs.
3. A diameter that is perpendicular to a chord.
4. In a circle, the relationship between two chords being equal in measure and being equidistant.
5. A circle with two minor arcs equal in measure
6. A circle with a diameter perpendicular to a chord.
I don't know if this will help you but maybe it will