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14 Cards in this Set

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chord central angles conjecture
in a circle if the two chords are congruent the central angles 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 bisects the chord.
Chord distance to a center conjecture
Two congruent chords in a circle are equidistant from the center of the circle.
Perpendicular bisector of a chord converse
The perpendicular bisector of a chord passes through the center of the circle.
Tangent Conjecture
a radius is perpendicular to a tangent at the point of tangency
Tangent segments conjecture
tangent segments from a point outside a circle are congruent.
Inscribed angle conjecture
- the measure of a angle inscribed in a circle is half the measure of its arc.
Inscribed angles intercepting arcs conjecture
Inscribed angles that intercept the same arc are congruent
Angles inscribed in a semicircle conjecture
The 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
to find the circumference of a circle, you multiply 2 by pi and then by the radius
Arc Length Conjecture
the length of an arc equals the arch angle divided by 360 times the circumference