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  • 1. 10.1 Circle Tangents February 09, 2012 You need @ least 3 colors of highlighters or pencils and a circle sheet.HW pg. 655 #3­25 odds 1
  • 2. 10.1 Circle Tangents February 09, 2012 10.1 Tangent Properties Circle: set of points that are equidistant from the center. Radius: segment whose endpoints are the center & any point on the circle Chord: segment whose endpoints are on a circle Diameter: a chord that contains the center of the circle Secant: line that intersects a circle in 2 points Tangent: a line that intersects the circle in exactly 1 point On your circle sheet, draw & identify these words on a circle. Chord Tangent Radius Diameter Center SecantHW pg. 655 #3­25 odds 2
  • 3. 10.1 Circle Tangents February 09, 2012HW pg. 655 #3­25 odds 3
  • 4. 10.1 Circle Tangents February 09, 2012 Coplanar Circles Coplanar circles: 2 circles that intersect in 2 points, 1 point or no points Tangent circles: 2 circles that intersect in 1 point Concentric: common center in 2 circles 1 point 0 points 2 points (tangent) (concentric) Common Tangent: a line, ray or segment that is tangent to 2 coplanar circlesHW pg. 655 #3­25 odds 4
  • 5. 10.1 Circle Tangents February 09, 2012 Tangent Properties Theorem 10.1: Tangent Theorem A tangent to a circle is perpendicular to the radius drawn to the point of  tangency. Theorem 10.2: Congruent Tangent Theorem Tangent segments to a circle from a point outside the circle are  congruent.HW pg. 655 #3­25 odds 5
  • 6. 10.1 Circle Tangents February 09, 2012 Examples: Find x. Assume that segments that appear tangent are tangent. E t )f -2 (x D 14 ft F Find x, y & z. C 6(3 - x) F 3x ) -4 E (z 10 4y A 2z D 12y B -4HW pg. 655 #3­25 odds 6
  • 7. 10.1 Circle Tangents February 09, 2012 10.1  HW p.655 #3‐25 oddsHW pg. 655 #3­25 odds 7

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