Explore the relationships between chords, central angles, arc measures, and perpendicular bisectors. On this worksheet, you can manipulate the length of the chord shown, the position of a congruent chord, and show different parts of the circle. With this you can explore relationships to demonstrate the following conjectures: Chord Central Angles Conjecture, Chord Arcs Conjecture, Perpendicular to a Chord Conjecture, Chord Distance to Center Conjecture, and the Perpendicular Bisector of a Chord Conjecture.