In this lesson, you used inductive reasoning to make conjectures about parts of circles, and then used deductive reasoning to prove that the conjectures were always true. In geometry, this approach is an important way to make and verify conjectures.

Important attributes of circles that you proved to be true in this lesson include the following.

circle with central and inscribed angles marked

circle with parallel chords and intercepted arcs

circle with equidistant chords