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a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that point
A line in the plane of a circle and containing an interior point of the circle intersects the circle in two points.
Statements that can be used
Radii of a circle are congruent
In a circle, radii congruent to radii of congruent circles are congruent
Arc Addition Theorem
If the intersection of arcs DE and EF of a circle is the single point E, then mDE+mEF=mDEF
An angle in the circle whose vertex is on the circle, and both sides (rays) intersect the circle
In a circle, m(interior angle) = the average of the intercepted arcs or:
1/2(∑ or intercepted arcs)
In a circle, m(exterior ∠) = ½ the difference of the intercepted arcs, or:
In a circle, m(exterior ∠) = ½(arc₂-arc₁)
If the chords bisect inside the circle, product of 2 part of one chord=the product of 2 parts of other chord (ab=xy)
If secants intersect out side the circle:
(whole part₁)(outside₁)=(whole part₂)(outside₂)
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