9 4 Arcs And Chords

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9 4 Arcs And Chords

  1. 1. 9-4 Arcs and Chords
  2. 2. <ul><li>Theorem </li></ul><ul><ul><li>Congruent arcs have congruent chords </li></ul></ul><ul><ul><li>Congruent chords have congruent arcs. </li></ul></ul>P A B C AB  BC if and only if AB  BC
  3. 3. Congruent arcs have <ul><li>Congruent diameters </li></ul><ul><li>Congruent chords </li></ul><ul><li>Congruent tangents </li></ul><ul><li>Congruent secants </li></ul>0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  4. 4. What arcs are congruent? <ul><li>AB and DC </li></ul><ul><li>BC and AB </li></ul><ul><li>AE and AB </li></ul><ul><li>BC and AE </li></ul>P A B C D E 10 11 8 3 5 7 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  5. 5. <ul><li>Theorem </li></ul><ul><ul><li>If a diameter of a circle is  to a chord, then the diameter bisects the chord and its arc. </li></ul></ul>F E D G DE  EF, DG  GF
  6. 6. What is FD? <ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>7 </li></ul><ul><li>8 </li></ul><ul><li>9 </li></ul><ul><li>10 </li></ul>F E D G 3 5 O 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  7. 7. <ul><li>Theorem </li></ul><ul><ul><li>Chords equally distant from the center are ___________ </li></ul></ul>
  8. 8. SPICSA <ul><li>Page 347 2-14,18 even </li></ul>

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