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

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Presentation on theme: "9-2 Tangents Theorem : If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency."— Presentation transcript:

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3 9-2 Tangents

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

5 Corollary: Tangents to a circle from a point not on the circle are congruent.

6 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.

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

8 Common tangent  a line that is tangent to each of 2 coplanar circles.

9 Common internal tangent a common tangent that intersects the segment joining the centers of the 2 circles.

10 Common external tangent  a common tangent that does not intersect the segment joining the centers.

11 A circle can also be tangent to another circle.
Tangent circles are coplanar circles that are tangent to the same line at the same point.

12 Homework Pg , 16-18


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