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Transcript 
Honors Geometry 10.4 Notes
Inscribed Angle: An angle
whose vertex is on a circle, and
whose sides are chords.
Honors Geometry 10.4 Notes
What type of angle is Angle A?
Honors Geometry 10.4 Notes
What type of angle is Angle A?
Inscribed Angle
Honors Geometry 10.4 Notes
is
half the measure of
the intercepted arc
Honors Geometry 10.4 Notes
are congruent
Honors Geometry 10.4 Notes
are right angles
Honors Geometry 10.4 Notes
The opposite angles of a cyclic quadrilateral
are supplementary
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Honors Geometry 10.4 Notes
Example:
Q
o
45
73
y
o
w
R
o
P 100
z
x
S
w = ____
x = ____
y = ____
z = ____
Honors Geometry 10.4 Notes
Proof of the fact that: The
measure of an inscribed angle is
half the measure of the intercepted
arc.
Honors Geometry 10.4 Notes
Case I:
is an inscribed
AC is a diameter
Honors Geometry 10.4 Notes
Case II:
is an inscribed
is a diameter
Honors Geometry 10.4 Notes
Case III:
is an inscribed
is a diameter
Honors Geometry 10.4 Notes
Finish Formal Proof
10-4: 11 - 30, 36, 55 - 65
Honors Geometry 10.4 Notes
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