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23 Cards in this Set

  • Front
  • Back
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.
Tangent circles
two circles that are tangent to the same line at the same point
chord
a segment whose endpoints are on the circle
Chord - Central Angle conjecture
if two chords in a circle are congruent, then they determine two congruent central angles.
chord - arc conjecture
if two chords in a circle are congruent, they their intercepted arcs are congruent.
perpendicular to a chord conjecture
the perpendicular from the center of a circle to the chord is the perpendicular 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
the perpendicular bisector of a chord intersects the centerpoint of a circle.
inscribed angles
an angle formed by two chords in a circle that share a common endpoint
inscribed angles conjecture
the measure of an inscribed angle of a circle is half the measurement of the intercepted arc
inscribed angles intercepting arcs conjecture
inscribed angles that intercept the same arc are congruent.
angles inscribed in a semicircle
angles inscribed in a semi circle are right angles
cyclic quadrilateral
a cyclic quadrilateral is a quadrilateral that is inscribed in a circle
cyclic quadrilateral conj
the opposite angles of a cyclic quadrilateral are supplementary
parallel lines intercepted arcs conjecture
parallel lines intercept congruent arcs on a circle
intersecting tangents conjecture
the measure of the angle formed by two intersecting tangents to a circle is supplementary to the intercepted minor arc
tangent-chord conjecture
the measure of an angle formed by the intersection of a tangent and a chord at the point of tangency is half the measurement of the intercepted arc
intersecting chords
the measure an angle formed by two intersecting chords is the average of the two intercepted arcs
intersecting secants conjecture
the measure of angle formed by two secants that intersect outside a circle is half the difference of the two intercepted arcs
tangent secant conj
the measure of an angle formed by an intersecting tangent and secant to a circle is half the difference of the two adjacent intercepted arcs
secant
a line that intersects the circle at two points
arc length
fraction of circumference