10 Flashcards
(28 cards)
Secant-Tangent Angle Theorem
1/2 (ark endpoints intercept - inverted ark of intercepted(minor ark))
Secant-Tangent segment Theorem
tangent segment squared = whole times part of other secant linbe
Tangent Angle Theorem
tangent angle is supplementary to minor ark
Perpendicular to a Radius Theorem
tangent line is perp to radius
Intersecting Chords Theorem
Each segment of each chord times the other segment o the same chord = the same for the other cord
Radius Perpendicular to a chord
if the radius is perpendicular to a chord it bisects the chord
Secant Angle Outside Theorem
Two secant lines have an angle which is ark it intercepts - minor ark
Secant Angle Inside Theorem
half the sum of the two arks it intercepts
Perpendicular Bisector of a chord
Perpendicular Bisector of a chord is a radius
tangent segments (that amke a tangent angle)
tangent segments (that make a tangent angle) are congruent
Tangent Line Theorem
If a line is a tangent line to a circle, then it is perpendicular to a radius of that circle.
Inscribed Angle Theorem
If an angle is an inscribed angle of a circle, then it is equal to half the measure of the arc it intercepts.
Inscribed Angles of the Same Arc Theorem
If two inscribed angles intercept the same arc, then they are congruent.
Inscribed Angle of a Diameter Theorem
If an inscribed angle intercepts the endpoints of the diameter of a circle, then it is right.
Congruent Chords Theorem
If two chords are congruent, then they are equidistant from the center and intercept arcs that have equal measures.
Chords Equidistant from the Center Theorem
If two chords are equidistant from the center of the circle, then they are congruent.
Parallel Chords Theorem
If two chords are parallel, then one pair of arcs that they intercept will have the same measure.
Tangent Angle Theorem
If an angle is a tangent angle, then it is supplementary to the minor arc it intersects.
Secant Angle on the Interior Theorem
If an angle is a secant angle on the interior of the circle, then it is equal to half the sum of the two arcs it intercepts.
Secant Angle on the Exterior Theorem
If an angle is a secant angle on the exterior of the circle, then it is equal to half the difference of the two arcs it intercepts.
Secant-Tangent Angle on the Exterior Theorem
If an angle is a secant-tangent angle on the exterior of the circle, then it is equal to half the difference of the two arcs it intercepts.
Intersecting Chords Theorem
If two chords intersect, the product of the parts of the chords are equal.
Secant Segments Theorem
If two secant segments have a common endpoint on the exterior of the circle, both intersect the circle twice, and the second endpoint is on the circle, then (outer)(whole) = (outer)(whole).
Tangent Segments Theorem
If two tangent segments have a common endpoint on the exterior of the circle and the other endpoint on the circle, then they are congruent.
