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Tangents Tangent - A line in the plane of a circle that intersects the circle in exactly one point. Point of Tangency – The point of intersection between.

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Presentation on theme: "Tangents Tangent - A line in the plane of a circle that intersects the circle in exactly one point. Point of Tangency – The point of intersection between."— Presentation transcript:

1 Tangents Tangent - A line in the plane of a circle that intersects the circle in exactly one point. Point of Tangency – The point of intersection between the circle and the tangent.

2 Tangents Theorem 10.9 If a line is tangent to a circle, it is  to the radius drawn to the point of tangency. Theorem 10.10 If a line is  to a radius of a circle at its endpoint on the circle, it is tangent to the circle.

3 Tangents Theorem 10.11 If two segments from the same exterior point are tangent to a circle, then they are congruent.

4 is a tangent to at point D. Find a.
Answer: 15 Example 5-1c

5 a. Determine whether is tangent to
Answer: yes Example 5-2e

6 b. Determine whether is tangent to
Answer: no Example 5-2f

7 ALGEBRA Find a. Assume that segments that appear tangent to circles are tangent.
Answer: –6 Example 5-3d

8 Triangle NOT is circumscribed about Find the perimeter of NOT if
Answer: 172 units Example 5-4c


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