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LINES THAT INTERSECT CIRCLES Geometry H2 (Holt 12-1) K. Santos

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Circle definition Circle: set of all points in a plane that are a given distance (radius) from a given point (center). Circle P P Radius: is a segment that connects the center of the circle to a point on the circle

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Interior & Exterior of a circle Interior of a circle: set of all the points inside the circle Exterior of a circle: set of all points outside the circle

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Lines & Segments that intersect a circle A G O B F E C D Chord: is a segment whose endpoints lie on a circle. Diameter: -a chord that contains the center -connects two points on the circle and passes through the center Secant: line that intersects a circle at two points

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Tangent A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point Tangent may be a line, ray, or segment The point where a circle and a tangent intersect is the point of tangency A B

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Pairs of circles Congruent Circles: two circles that have congruent radii Concentric Circles: coplanar circles with the same center

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Tangent Circles Tangent Circles: coplanar circles that intersect at exactly one point Internally tangentexternally tangent circlescircles

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Common Tangent Common tangent: a line that is tangent to two circles Common externalcommon internaltangents

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Theorem 12-1-1

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Example

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Theorem 12-1-2

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Example—Is there a tangent line? Determine if there is a tangent line? 12 6 8

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Theorem 12-1-3

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Example:

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