Theorem 12-6 states that in a circle, an arc is equal in measure to its corresponding central angle, and also to the inscribed angle subtended by the same arc. Additionally, the measure of an inscribed angle is half the measure of its corresponding intercepted arc.
Theorem 12-6, also known as the Relationship between Arcs and Chords, states that if two chords in a circle are congruent, then their corresponding arcs are congruent as well. Conversely, if two arcs in a circle are congruent, then their corresponding chords are congruent.
