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Lesson 10-4: Inscribed
Angles
Geometry CP
Mrs. Mongold
-Inscribed angle: an angle inside the circle
with sides that are chords and a vertex on
the edge of the circle

Inscribed angle = ½ intercepted arc
-An inscribed right angle, always intercepts
a semicircle
-If two or more inscribed angles intercept the
same arc, they are congruent
A
Ex: Angle CAE = ½ arc CE
X
C
E
A
Inscribed angle BAC
intercepts a semicircle- so
angle BAC =90
B
C
Inscribed angles GDF and
GEF both intercept arc
GF, so the angles are
congruent
D
F
E
G
Find the measure of angle X
Find the measures of angles 1, 2,
3, and 4
Find the measure of angle R
Find the measure of angle I
Find the measure of angle B
Find the measure of angle D
Find angle S and T
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