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

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.

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

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

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

Mrs. McConaughyGeometry: Circles6 Using Tangent Segments 86

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.

Mrs. McConaughyGeometry: Circles8 Final Checks for Understanding

Mrs. McConaughyGeometry: Circles9 Homework Assignment: Tangent Segments WS