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Tangents May 29, 2008. Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point.

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Presentation on theme: "Tangents May 29, 2008. Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point."— Presentation transcript:

1 Tangents May 29, 2008

2 Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

3 More about properties of tangents Corollary: Tangents to a circle from a point are congruent.

4 Even more about properties of tangents Theorem: If a line in the plane of a circle is perpendicular to a radius at its outer endpoint, then the line is tangent to the circle.

5 Inscribed and circumscribed, revisted You can also inscribe a circle.

6 Internal tangent A common internal tangent intersects the segment joining the centers.

7 External tangent An external tangent does not intersect the segment joining the centers.

8 Internal or External?

9 Find the values


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