11-1 Tangent Lines

1. 11-1Tangent Lines

2. Vocabulary Tangent to a circle Point of tangency A line in the same plane of a circle that intersects the circle in exactly one point. The point where a circle and a tangent intersect.

3. Theorem 11-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

4. #1 Finding Angle Measures is tangent to . Find the value of x.

5. Theorem 11-2 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.

6. #2 Finding a Tangent A belt fits tightly around two circular pulleys. Find the distance between the centers of the pulleys.

7. #3 Finding a Tangent If NL = 4, LM = 7, and NM = 8, is tangent to a at L?

8. Vocabulary Inscribed in Circumscribed about All vertices of a figure lie on the circle. When a circle is inscribed in a figure.

9. Theorem 11-3 The two segments tangent to a circle from a point outside the circle are congruent.

10. #4 Circles Inscribed in Polygons Circle O is inscribed in Triangle PQR. Triangle PQR has a perimeter of 88 cm. Find QY.