Lesson 10-3: Arcs and Chords

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Presentation transcript:

Lesson 10-3: Arcs and Chords Geometry

Theorem #1: If two chords are congruent, then their arcs are also congruent. Arc AB is congruent to Arc CD.

Theorem #2: In inscribed quadrilaterals, the opposite angles are supplementary. m<A + m<C = 180 and m<B + m< D = 180 C

Theorem #3: If a radius or diameter is perpendicular to a chord, it bisects the chord and its arc. Segment LZ = Segment ZM and Arc LX = Arc XM

Theorem #4: If two chords are equidistant from the center of the circle, the chords are congruent.

Practice Problems 1. Find x and if arc RS measures 850 find arc TV.

Practice Problems 2.

Practice Problems 3.

Practice Problems 4.

Practice Problems 5. In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU.

Practice Problems 6.

Practice Problems 7.