10'4 Inscribed Angles

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10.4 Inscribed Angles
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Inscribed Angle has vertex ON circle (sides are
chords)
Central Angle has vertex _at_ center of circle
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Inscribed Angle Thm If an angle is inscribed ?
its meas ½ meas of its intercepted arc.
D
Example
Find x.
E
F
x
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Example
mWX20, mXY40, mUZ108, mUWmYZ
X
W
Find meas of ed lts
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Y
lt1____, lt2____, lt3____, lt4____, lt5____
4
5
2
F
U
1
Z
T
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Thm 10.6 If 2 inscribed angles of a circle (or
congruent circles) intercept congruent arcs (or
same arc) ? angles are congruent.
3
4
1
2
6
Example
mAB60 Whats the probability that a pt (D)
selected _at_ random on the circle (so that it
doesnt coincide with A or B) will make mltABD30?
A
60
B
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Thm 10.7 If inscribed angle intercepts a
semicircle ? angle is rt angle.
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Example
mABmBD, lt112x-8, lt23x8
lt1____, lt2____, lt3____, lt4____
B
3
A
1
4
2
D
E
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Example
MltB80, mltC40
ltA____, ltD____
A
B
D
C
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Assignment

• 10.4 p. 549 (8-10 all, 12-34 even, 40, 42, 46-58
  even)