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Chapter 10: Circles
10.4.1 Use Inscribed Angles and Polygons
Inscribed Angles
 An Inscribed Angle is an angle whose vertex is on a
circle and whose sides contain chords of the circle.
 An Intercepted Arc is an arc whose endpoints are on an
Inscribed Angle
A
D
mDAB = ½ mDB
2*mDAB = mDB
B
Inscribed angle congruency Theorem
 If two inscribed angles intercept the same arc, then the angles
are congruent
D
A
DAE  DBE
B
E
Find the measure of each angle
AE and BD are diameters
mACD =
mAED =
A
mBDE =
mBED =
B
C
E
D
What do you notice about BED and
BD in the previous problem?
 a right triangle is inscribed in a triangle iff the hypotenuse
is a diameter
B
D
F
G
E
Homework
 p. 676

 1, 2, 5 – 8, 10 – 12, 16 – 18, 43 – 47odd
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