11.1; 13-35 40-42 13. 7.5 14. 3.25 15. 1.5 16. 4 17. 52 18. 124 19. 17.4 20. 8.8 21. chord 22. tangent 23. diameter 24. radius 25. Point of tangency 26. Center of the circle 27. chord 28. radius 29. diameter 30. secant 31. tangent 32. secant 33. See board 34. See board 35. See board 40. (2,2); (6,2) 41. 2; 2 42. (4,2)

Goal: Use properties of a tangent to a circle. 11.2 Parts of Tangents Goal: Use properties of a tangent to a circle.

Theorem 11.1 If a line is tangent to a circle, then it is perpendicular to the radius drawn at the point of tangency.

Theorem 11.2 In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.

1. Use Properties of Tangents 5

2. Find the Radius of a Circle 12 feet

3. Verify a Tangent to a Circle Use the Converse of the Pythagorean to prove the triangle is a right triangle.

Theorem 11.3 If two segments from the same point outside a circle are tangent to the circle, then they are congruent.

4. Find Leg Length 4

Find Leg Lengths 15 3

Homework 11.2 pg. 598 8-24 Even, 27