1. Tangents

2. Definition - Tangents Ray BC is tangent to circle A, because the line containing BC intersects the circle in exactly one point. This point is called the point of tangency.

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

4. Example 1 – Tangent Lines

10. Example 2 – Tangent Lines

18. Theorem – The converse is also true 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.

19. Example 3 – Showing Tangency

26. Example 4 – Non Tangent Segment

37. Example 5 Determine if the segments are tangent to the respective circles

38. CW Tangent Lines of Circles

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

40. Example 1

50. Example 2 – Circumscribed Triangles & Perimeter