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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

Intersecting Tangent Conjecture

The measure of an angle formed by intersecting tangents to a circle is 180º minus the smaller intercepted arc measure.

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.

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.

Intersecting Chords Conjecture

The measure of an angle formed by two intersecting chords is one half the sum of the two intercepted arcs.

The measure of an angle formed by two intersecting chords is one half the sum of the two intercepted arcs.

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.

Parallel Lines Intercepted Arcs Conjecture

Parallel lines intercept congruent arcs on a circle.

Cyclic Quadrilateral Conjecture

The opposite angles of a cyclic quadrilateral are supplementary.

The opposite angles of a cyclic quadrilateral are supplementary.

Angles Inscribed in a Semicircle Conjecture

Angles inscribed in a semicircle are right angles.

Angles inscribed in a semicircle are right angles.

Inscribed Angles Intercepting Arcs Conjecture

Inscribed Angles that intercept the same arc are congruent.

Intersecting Chords

If two chords intersect and create two vertical angles the measure equals the average of the two intersected arcs.

Inscribed Angle Conjecture

The measure of an angle inscribed in a circle is one half the measure of the intercepted arc.

Perpendicular Bisector of a Chord Conjecture

The perpendicular bisector of a chord passes through the center of the circle.

Chord Distance to Center Conjecture

Two congruent chords in a circle are equidistant from the center of the circle.

Perpendicular to a Chord Conjecture

The perpendicular from the center of a circle to a chord is the bisector of the chord.

Chord Arcs Conjecture

If two chords in a circle are congruent then their intercepted arcs are congruent

Chord Central Angles Conjecture

If two chords in a circle are congruent then they determine two central angles that are congruent.

Tangent Segments Conjecture

Tangent segments to a circle from a point outside the circle are congruent.

Tangent Conjecture

A tangent to a circle perpendicular radius drawn to the point of tangency