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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
B C D

3 In inscribed quadrilaterals, the opposite angles are supplementary

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

13 Practice Problems

14 Practice Problems


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