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Vocabulary. Tangent to a circlePoint 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.. Theorem 11-1. If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the poi
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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.