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Use Properties of Tangents

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1 Use Properties of Tangents
Geometry Section 10-1 Use Properties of Tangents

2 Circle Set of all points in a plane that are equidistant from a given point called the center Radius segment whose endpoints are the center and any point on the circle Chord a segment whose endpoints are on a circle Diameter a chord that intersects the center of the circle

3 Circle Secant is a line that intersects a circle in two points
Tangent is a line, segment, or ray in the plane of a circle that intersects the circle in exactly one point (point of tangency)


5 Coplaner circles Two circles can intersect in two points, one point or no points

6 2 points of intersections

7 1 point of intersection (tangent circles)

8 Circles that share a center (concentric circles)

9 Common Tangents A line, ray, or segment that is tangent to two coplaner circles

10 Theorem In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle

11 Theorem Tangent segments from a common external point are congruent

12 Examples classzone

13 Assignment Section 10-1 Page 655 Problems # 3-10, 12-14, even

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