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5.9 Chords & Inscribed angles

If a diameter is to a chord. A. o. B. it must bisect the chord. 5.9 Chords & Inscribed angles. Inscribed angle: angle that has vertex on the circle. A. Made up of 2 chords AB & BC Intercepts AC Inscribed in ABC. o. C. B. <ABC is an inscribed angle.

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5.9 Chords & Inscribed angles

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  1. If a diameter is to a chord A o B • it must bisect the chord 5.9 Chords & Inscribed angles

  2. Inscribed angle: angle that has vertex on the circle A • Made up of 2 chords • AB & BC • Intercepts AC • Inscribed in ABC o C B <ABC is an inscribed angle 5.9 Chords & Inscribed angles

  3. Inscribed angle rule: inscribed < is = to ½ its corresponding central < A <ABC = 60o E <ADC = 60o o 120o C B • It’s half the • arc it eats D 60o <AEC = 5.9 Chords & Inscribed angles

  4. Inscribed angles are congruent when they eat the same arc A E o C B D <ABC <ADC <AEC 5.9 Chords & Inscribed angles

  5. Examples m<ABD = 75o A B o 150o D 5.9 Chords & Inscribed angles

  6. Examples m<AOD = 30o A B 15o o D 5.9 Chords & Inscribed angles

  7. Examples m<AOD = 2xo A B xo o D 5.9 Chords & Inscribed angles

  8. Examples m<ABD = 90o A B o D 5.9 Chords & Inscribed angles

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