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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. - PowerPoint PPT Presentation
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Lesson 10-3: Arcs and Chords
Geometry CP
Mrs. Mongold
If two chords are congruent, then their arcs are also congruent
A
B
D
C
In inscribed quadrilaterals, the opposite angles are supplementary
A
B
C
D
If a radius or diameter is perpendicular to a chord, it bisects the chord and its arc
If two chords are equidistant from the center of the circle, the chords are congruent
B
C
E
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
E
A
B
C F D
X
*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
Practice Problems
Find x and if arc RS measures 850 find arc TV.
Practice Problems
Practice Problems
Practice Problems
Practice Problems
In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU.
Practice Problems
Practice Problems