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chpt. 6 conjectures

discovering geometry boning

QuestionAnswer
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.
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 angle inscribed in a circle is one-half the measure of the central angle.
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.
Circumference Conjecture If C is the circumference and d is the diameter of a circle, then there is a number such that C=πd. If d=2r where r is the radius, then C=2πr.
Arc Length Conjecture The length of an arc equals the circumference times the measure of the central angle divided by 360°.
Created by: blulub
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