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### 14 Cards in this Set

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 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 perpendicular bisector of the chord. Chord Distance to Center Conjecture Two congruent chords in a circle are equally distant 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. Tangent Conjecture A tangent to a circle is perpendicular to the radius drawn to the point of tangency. Tangent Segments Conjecture Tangent segments to a circle from a point outside the circle are congruent. Inscribed Angle Conjecture The measure of an inscribed angle in a circle is half the measure of the arc it intercepts. 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 quadrilateral inscribed in a circle are supplementary. Parallel Lines Intercepted Arcs Conjecture Parallel lines intercept congruent arcs on a circle. Arc Length Conjecture The length of an arc equals the degree measure of the arc divided by 360 degrees, times the circumference of the circle. NOTE I did not include the conjecture about the circumference!!! That is just common knowledge.