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18 Cards in this Set
- Front
- Back
Tangent-Chord Conjecture |
The measure of an angle formed by the intersection of a tangent and chord at the point of tangency is one half the measure of the intercepted arc |
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Intersecting Tangent Conjecture |
The measure of an angle formed by intersecting tangents to a circle is 180º minus the smaller intercepted arc measure. |
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Tangent Secant Conjecture |
The measure of an angle formed by an intersecting tangent and secant to a circle is one half the difference of the larger intercepted arc measure and the smaller intercepted arc measure. |
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Intersecting Chords Conjecture |
The measure of an angle formed by two intersecting chords is one half the sum of the two intercepted arcs. |
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Intersecting Secants Conjecture |
The measure of an angle formed by two intersecting chords is one half the difference of the larger intercepted arc measure and the smaller intercepted arc measure. |
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Parallel Lines Intercepted Arcs Conjecture |
Parallel lines intercept congruent arcs on a circle.
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Cyclic Quadrilateral Conjecture |
The opposite angles of a cyclic quadrilateral are supplementary. |
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Angles Inscribed in a Semicircle Conjecture |
Angles inscribed in a semicircle are right angles. |
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Inscribed Angles Intercepting Arcs Conjecture |
Inscribed Angles that intercept the same arc are congruent. |
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Intersecting Chords |
If two chords intersect and create two vertical angles the measure equals the average of the two intersected arcs. |
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Inscribed Angle Conjecture |
The measure of an angle inscribed in a circle is one half the measure of the intercepted arc. |
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Perpendicular Bisector of a Chord Conjecture |
The perpendicular bisector of a chord passes through the center of the circle. |
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Chord Distance to Center Conjecture |
Two congruent chords in a circle are equidistant from the center of the circle. |
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Perpendicular to a Chord Conjecture |
The perpendicular from the center of a circle to a chord is the bisector of the chord. |
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Chord Arcs Conjecture |
If two chords in a circle are congruent then their intercepted arcs are congruent |
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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. |
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Tangent Segments Conjecture |
Tangent segments to a circle from a point outside the circle are congruent. |
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Tangent Conjecture |
A tangent to a circle perpendicular radius drawn to the point of tangency |