Inscribed Angle

1
Inscribed Angle
Intercepted Arc
Inscribed Angle
Intercepted Arc
Inscribed Angle- angle whose vertex is on a
circle and sides contain chords of the circle.
Intercepted Arc- arc that lies on the interiro of
inscribed angle and endpoints are on the angle.
2
Intercepted Arc is measure of Inscribed Angle
times 2
3
A
60
E
B
D
C
Find measure of ACB, ADB, and AEB
4
A
C
B
C D
D
If 2 Inscribed Angles intercept the same arc,
then the angles are congruent.
5
If all the vertices of a polygon lie on a circle,
then the polygon is inscribed in the circle and
the circle is circumscribed about the polygon.
6
A
D
B
C
If a right triangle is inscribed in a circle,
then the hypotenuse is the diameter. If one side
of the triangle is the diameter, then the
triangle is a right triangle.
A quadrilateral can be inscribed in a circle if
it's opposite angles are supplementary. D B
180 A C 180
7
2y
3y
3x
5x
2y 5x 180 3y 3x 180
8
Homework Pg. 617 3-23