← Geometry Circle Conjectures Export Options Alphabetize Word-Def Delimiter Tab Comma Custom Def-Word Delimiter New Line Semicolon Custom Data Copy and paste the text below. It is read-only. Select All 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 Chord Central Angle Conjecture If two chords of a circle are congruent, then the central angels that intercept them 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 is the 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 conjecture The perpendicular bisector of a chord passes through the center of the circle. Inscribed Angle Conjecture The measure of an angle inscribed in a circle is one-half the measure of the central angle. Inscribed angles intercepting arcs conjecture Inscribed angles that intercept the same arc are congruent. Angles inscribed in a semicircle Conjecture 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 C = pi diameter or C = 2 pi r Arc Length Conjecture the length of an arc equals the measure of the arc divided by 360 degrees times the circumference Intersecting Chords Conjecture The measure of an angle formed by two intersecting chords is the average of the intercepted arcs Intersecting Secants Conjecture The measure of an angle formed by two secants that intersect outside a circle is half the difference of the two intercepted arcs. Tangent-Secant Conjecture The measure of an angle formed by a tangent and a secant is 1/2 the measure of the intercepted arc Intersecting Tangents Conjecture The measure of the angle formed by intersecting tangents to a circle is half of the distance between the measure of the larger intercepted arc and the measure of the smaller intercepted arc. Tangent-Chord Conjecture The measure of the angle formed by the intersection of a tangent and chord at the point of tangency is half the measure of the intercepted arc.