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Ch.6 Conjectures
Conjecture Name | What it states |
---|---|
Intersecing Secants Conjecture | angle formed by secants that intersect out of circle= 1/2difference of arcs |
Intersecting Chords Conjecture | angle formed by 2 intersecting chords is 1/2sum |
Tangent-Secant Conjecture | angle formed by intersecting tangent and secant is 1/2difference |
Intersecting Tangents Conjecture | angle formed by 2 intersecting tangents to a circle=1/2difference |
Tangent Chord Conjecture | angle formed by intersecting tangent and chord at pt. of tangency=1/2arc |
Circumference Conjecture | C=d*pie |
Arc Length Conjecture | arc length=arc measure/360 * circumference |
Inscribed Angle Conjecture | msr of inscribed angle is 1/2 arc |
Inscribed Angle Intercepting Arcs Conjecture | inscribed angles that intercept the same arc/or congruent arcs, are congruent |
Angles Inscribed in a Semicircle Conjecture | angles inscribed in a semicircle are right angles |
Cyclic Quadrilateral Conjecture | opp. angles of a cyclic quad. are supplementary |
Parallel Lines Intercepted Arcs Conjecture | parallel lines intercept congruent arcs on circle |
Chord Central Angles Conjecture | congruent chords->congruent angles |
Chord Arcs Conjecture | congruent chords->congruent arcs |
Perpendicular to a Chord Conjecture | perpendicular from center of circle to a chord is its bisector |
Chord Distance to Center Conjecture | 2 congruent chords in a circle are equidistant from center of circle |
Perpendicular Bisector of a Chord Conjecture | perpendicular bisector of a chord passes thru the center |
Tangent Conjecture | a tangent to a circle is perpendicular to the radius at pt of tangency |
Tangent Segments Conjecture | tangent segments to a circle from a pt. outside the circle are congruent |