Chapter 12.1 Tangent Lines

1. Chapter 12.1 Tangent Lines

2. Vocabulary • Tangent to a circle = a line in the plane of the circle that intersects the circle in exactly one point

3. Vocabulary Point of Tangency = point where a circle and a tangent intersect

4. Vocabulary • Inscribed in = circle is inscribed in a triangle • Circumscribed about = triangle is circumscribed about the circle

5. Theorem 12-1 • If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency

6. Example #1 Find X X 117

7. Theorem 12.2 • If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle

8. Example #2 X • Find X

9. Theorem 12.3 • The two segment tangent to a circle from a point outside the circle are congruent

10. Example #3 Find the perimeter of the triangle

11. Example #4 Find Y

12. Classwork/Homework • Due Tuesday Pgs 665-667 #2,3,8-10, 13-15, 17-19, 25 • Due Wednesday Pgs 665-667 #1,4-7, 11,12, 20, 23