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Circle Tangent Lines and Triangles Theorem | Math Problem Solving

Explore tangent lines of circles and their properties, including the circle tangent theorem, triangle types, and practice problems. Understand corollaries and angles formed by tangents.

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Circle Tangent Lines and Triangles Theorem | Math Problem Solving

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  1. HonorsSection 9-2

  2. Tangent lines • Definition- a line in the plane of a circle that intersects the circle in exactly one point (pt. of tangency). • Thm. 9-1 – If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. m Circle O has a tangent line, m, so OX is perpendicular to m. O X What kind of triangle is OXZ? Z

  3. Problem • If OR = 6 and OT = 8, then RT = _________ • If m<OTR = 45, and OT = 4, then RT = ______. R T k

  4. More info. • Corollary- tangents to a circle from a point are congruent.

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