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Section 9-2 Tangents

Section 9-2 Tangents. Tangent theorems. If a line is tangent to a circle then the line is perpendicular to the radius drawn to the point of tangency. Tangent theorems. Tangent theorems Cont.

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Section 9-2 Tangents

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  1. Section 9-2Tangents

  2. Tangent theorems If a line is tangent to a circle then the line is perpendicular to the radius drawn to the point of tangency.

  3. Tangent theorems

  4. Tangent theorems Cont. If a line in the plane of a circle is perpendicular to the radius at its outer endpoint, then the line is tangent to the circle.

  5. Tangent Corollary Tangents to a circle from a point are congruent

  6. Tangent Corollary cont.

  7. Tangent terms and definitions When each side of a polygon is tangent to a circle: a. The polygon is circumscribed about the circle b. The circle is inscribed in the polygon

  8. Tangent terms and definitions

  9. Tangent terms and definitions cont.. • A line that is tangent to each of 2 coplanar circles is called a common tangent.

  10. Tangent terms and definitions cont.. • internal tangent segments intersect the segment joining the centers.

  11. Tangent terms and definitions cont.. • Externaltangent segments do not intersect the segment joining the centers.

  12. Tangentterms and definitions cont.. • Tangent circles are coplanar circles that are tangent to the same line at the same point • Externally tangent circles do not share interior points • Internally tangent circles share interior points

  13. Tangent terms and definitions cont..

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