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  • 1. Geom10.1­10.2.notebook March 01, 2012 BELL WORK: Chord AB measures  A 12 mm and the radius of circle P is  10 mm.  Find the distance from AB to P. P B (The distance from the center of a circle to the chord is the measure  of the perpendicular segment from the center of the chord.) Theorems from yesterdays intro to circles: • If a radius is perpendicular to a chord, then it bisects the chord. • If a radius of a circle bisects a chord that is not a diameter, then it is  perpendicular to that chord. • The perpendicular bisector of a chord passes through the center of the  circle. 1
  • 2. Geom10.1­10.2.notebook March 01, 2012 Homework questions? (p.443 #6,8,11,12,14) 2
  • 3. Geom10.1­10.2.notebook March 01, 2012 10.2 ­ Congruent Chords We are going to talk about some relationships between chords.  Lets do it! Theorem: If two chords of a circle are equidistant from the  center, then they are congruent. Theorem: If two chords of a circle are congruent, then they are  equidistant from the center of the circle. 3
  • 4. Geom10.1­10.2.notebook March 01, 2012 C Example:  B Given:    T, AB = CD Q T OP = 12x ­ 5 P OQ = 4x + 19 D Find OP. A Find a partner near you, complete the following 2 problems as  your exit slip. I must check them and collect them before you  begin your homework: 1. In a circle, chord AB is 325 cm long and chord CD is 3 and  1/4 m long. Which is closer to the center of the circle? B Q 2. Given:    P, PQ = PR          AB = 6x + 14 A  CD = 4 ­ 4x P D C R 4
  • 5. Geom10.1­10.2.notebook March 01, 2012 Homework: p.448 #6,11­13 5