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Tangent Conjecture A tangent to a circle is perpendicular to the radius drawn to the point of tangency Tangent Segment Conjecture Tangent segments to a circle from a point outside the circle are congruent Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are congruent Chord Arcs Conjecture If two chords in a circle are congruent, then their intercepted arcs are congruent Perpendicular to a Chord Conjecture The perpendicular from the center of a circle to a chord is the bisector of the chord Chord Distance to Center Conjecture Two congruent chords in a circle are equidistant from the center of the circle Perpendicular Bisector of a Chord Conjecture The perpendicular bisector of a chord passes through the center of the circle Inscribed Angle Conjecture The measure of an angle inscribed in a circle is one-half the measure of the intercepted arc Inscribed Angles Intercepting Arcs Conjecture Inscribed angles that intercept the same arc are congruent Angles Inscribed in a Semicircle Conjecture Angles inscribed in a semicircle are right angles Cyclic Quadrilateral Conjecture The opposite angles of a cyclic quadrilateral are supplementary Parallel Lines Intercepted Arcs Conjecture Parallel lines intercept congruent arcs on a circle Tangent Circles Circles that are tangent to the same line at the same point. They can be internally tangent or externally tangent. Internally Tangent Circles Two tangent circles having centers on the same side of their common tangent Externally Tangent Circles Two tangent circles having centers on opposite sides of their common tangent Central Angle An angle whose vertex is the center of the circle Inscribed Angle An angle whose vertex lies on the circle and its sides are chords Cyclic Quadrilateral A quadrilateral that can be inscribed in a circle Secant A line that intersects a circle in two points