Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent. C-54 p. 308

Circle Properties - Ch 6 Chord Arcs Conjecture If two chords in a circle are congruent, then their ________________ are congruent. intercepted arcs C-55 p. 308

Circle Properties - Ch 6 Perpendicular to a Chord Conjecture The perpendicular from the center of a circle to a chord is the _____________ of the chord. bisector C-56 p. 309

Circle Properties - Ch 6 Chord Distance to Center Conjecture Two congruent chords in a circle are ______________ from the center of the circle equidistant C-57 p. 309

Circle Properties - Ch 6 Perpendicular Bisector of a Chord Conjecture The perpendicular bisector of a chord passes through the center of the circle. C-58 p. 310

Circle Properties - Ch 6 Tangent Conjecture A tangent to a circle __________________ the radius drawn to the point of tangency. is perpendicular to C-59 p. 313

Circle Properties - Ch 6 Tangent Segments Conjecture Tangent segments to a circle from a point outside the circle are congruent. C-60 p. 314

Circle Properties - Ch 6 Inscribed Angle Conjecture The measure of an angle inscribed in a circle is one-half the measure of the central angle. C-61 p. 319

Circle Properties - Ch 6 Inscribed Angles Intercepting Arcs Conjecture Inscribed angles that intercept the same arc are congruent. C-62 p. 320

Circle Properties - Ch 6 Angles Inscribed in a Semicircle Conjecture Angles inscribed in a semicircle are right angles. C-63 p. 320

Circle Properties - Ch 6 Cyclic Quadrilateral Conjecture The ____________ angles of a cyclic quadrilateral are ________________. opposite C-64 p. 321 supplementary

Circle Properties - Ch 6 Parallel Lines Intercepted Arcs Conjecture Parallel lines intercept ____________ arcs on a circle. congruent C-65 p. 321

Circle Properties - Ch 6 Circumference Conjecture If C is the circumference and d is the diameter of a circle, then there is a number π such that C = ________. If d = 2r where r is the radius, then C = _________. 2 π r C-66 p. 332 π dπ d

Circle Properties - Ch 6 Arc Length Conjecture The length of an arc equals the circumference times the measure of the central angle divided by 360 o. C-67 p. 342