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Lesson 10-3: Arcs and Chords

Lesson 10-3: Arcs and Chords. Geometry CP Mrs. Mongold. If two chords are congruent, then their arcs are also congruent. A. B. C. D. In inscribed quadrilaterals, the opposite angles are supplementary. B. A. D. C.

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Lesson 10-3: Arcs and Chords

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  1. Lesson 10-3: Arcs and Chords Geometry CP Mrs. Mongold

  2. If two chords are congruent, then their arcs are also congruent A B C D

  3. In inscribed quadrilaterals, the opposite angles are supplementary B A D C

  4. If a radius or diameter is perpendicular to a chord, it bisects the chord and its arc

  5. If two chords are equidistant from the center of the circle, the chords are congruent

  6. If FE=BC, then arc FE = arc BC • Quad. BCEF is an inscribed polygon – opposite angles are supplementary angles B and E & angles F and C • Diameter AD is perpendicular to chord EC – so chord EC and arc EC are bisected B C E

  7. B • *You can use the pythagorean • theorem to find the radius • when a chord is perpendicular • to a segment from the center • EX = FX so chords AB and CD • are congruent because they are • equidistant from the center E A X C F D

  8. Practice Problems • Find x and if arc RS measures 850 find arc TV.

  9. Practice Problems

  10. Practice Problems

  11. Practice Problems

  12. In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU. Practice Problems

  13. Practice Problems

  14. Practice Problems

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