Lesson 10-3: Arcs and Chords

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Lesson 10-3 Arcs and Chords

• Geometry CP
• Mrs. Mongold

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If two chords are congruent, then their arcs are
also congruent

A
B
C
D
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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

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

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• If FEBC, 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
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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
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Practice Problems

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

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Practice Problems
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Practice Problems

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Practice Problems

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Practice Problems

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Practice Problems

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Practice Problems