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Mrs. McConaughyGeometry: Circles1 Tangent Properties During this lesson, you will determine and apply properties of tangents in circles.

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Mrs. McConaughyGeometry: Circles2 Properties of Tangents In this lesson, you will discover some properties of tangents. You will be completing two investigations (notes). You will then compare the results with your classmates.

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Mrs. McConaughyGeometry: Circles3 TANGENT THEOREM TANGENT THEOREM: A tangent to a circle is ___________ to the radius drawn to the point of tangency. RADIUS ___ TANGENT perpendicular ┴ RADIUS TANGENT

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Mrs. McConaughyGeometry: Circles4 Determine whether each segment is tangent to the given circle. Check Point:

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Mrs. McConaughyGeometry: Circles5 TANGENT SEGMENTS THEOREM: Tangent segments to a circle from a point outside the circle are ___________. Tangent Segments ___ congruent E N A G

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Mrs. McConaughyGeometry: Circles6 Using Tangent Segments 86

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Mrs. McConaughyGeometry: Circles7 Final Checks for Understanding How many, if any, of the circles above have tangent lines? In both cases X is the center of the respective circles.

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Mrs. McConaughyGeometry: Circles8 Final Checks for Understanding

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Mrs. McConaughyGeometry: Circles9 Homework Assignment: Tangent Segments WS

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