Lesson 10-3: Arcs and Chords

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

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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

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14. Practice Problems