April 05, 2017
HAPPY Wednesday!
Assignment: p. 719 # 8, 9, 10, 12,
14, 16-19, 22, 23, 31 - 33
April 05, 2017
10-3 Arcs and Chords
A chord that is a diameter divides a circle into two
semicircle.
A chord that is NOT a diameter divides a circle into
a minor arc and a major arc.
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Theorem 10.2 In the same circle or congruent circles, two minor
arcs are congruent if and only if their corresponding chords are
congruent.
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2x + 1 = 3x - 7
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5x - 9 = 2x + 3
3x = 12
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Theorem 10.3 - If a diameter (or radius) of a circle is
perpendicular to a chord, then it bisects the chord and its arc.
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Theorem 10.4 - The perpendicular bisector of a chord is a
diameter (or radius) of a circle.
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April 05, 2017
Theorem 10.5 - In the same circle or in congruent circles, two
chords are congruent if and only if they are equidistant from the
center.
if FG = JH
then XL = LY
and
if XL = LY
then FG = JH
April 05, 2017
5x = 3x + 4
2x = 4
x=2
AB = 5(2)
AB = 10
April 05, 2017
3x - 4 = 14
3x = 18
x=6
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April 05, 2017