Download 11-3 Inscribed Angles

11-3 Inscribed Angles
EQ: What are properties of inscribed
angles?
Vocabulary & Theorems
Inscribed Angle – angle
whose vertex is on the
circle.
Inscribed angles measure
half the intercepted arc
A
Two inscribed angles intercept
the same arc then they are
congruent.
A
B
100
B
D
C
<ABC  <ADC
C
m<ABC = 1/2 AC
Theorems
Opposite angles of a
quadrilateral inscribed in a
circle are supplementary.
An angle inscribed in a
semicircle is a right angle.
A
A
E
B
B
C
m<B + m<E = 180
m<A + m<C = 180
C
Examples
2) Find x and y.
1) Find the numbered
angles.
B
F
2
G
3
50
I
80
C
4
0
1
70
6
A
y
5
H
90
x
D
Examples
3) Find x and y.
32
y
x