Presentation is loading. Please wait.

Presentation is loading. Please wait.

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.

Similar presentations


Presentation on theme: "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."— Presentation transcript:

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

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 Common internal tangent Intersects the segment joining the centers A B

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

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

12 Externally Tangent A B l

13 Internally Tangent C D l


Download ppt "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."

Similar presentations


Ads by Google