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Section 9-2

Section 9-2. Tangents. Theorem 9-1. If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. Point of Tangency. P. Corollary. Tangents to a circle from a common point are congruent. A. B. Theorem 9-2.

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Section 9-2

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  1. Section 9-2 Tangents

  2. Theorem 9-1 • If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

  3. Point of Tangency

  4. P Corollary • Tangents to a circle from a common point are congruent A B

  5. Theorem 9-2 • 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.

  6. Tangent line

  7. When each side of a polygon is tangent to a circle, the polygon is said to be circumscribed about the circle and the circle is inscribed in the polygon.

  8. Common tangent • A line that is tangent to each of two coplanar circles

  9. A B Common internal tangent • Intersects the segment joining the centers

  10. B A Common external tangent • Does not intersect the segment joining the centers.

  11. Tangent circles • Coplanar circles that are tangent to the same line at the same point

  12. Externally Tangent l A B

  13. Internally Tangent l D C

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