Chords and Arcs

1
Chords and Arcs
GEOMETRY LESSON 11-2
7.8 in.
22 cm
6.9 cm
11-2
2
Inscribed Angles
GEOMETRY LESSON 11-3
x 75 Simplify.
11-3
3
Inscribed Angles
GEOMETRY LESSON 11-3
y 95 Simplify.
11-3
4
Inscribed Angles
GEOMETRY LESSON 11-3
By Corollary 2 to the Inscribed Angle Theorem, an
angle inscribed in a semicircle is a right
angle, so a 90.
Therefore, the angle whose intercepted arc has
measure b must have measure 180 90 32, or
58.
Because the inscribed angle has half the measure
of the intercepted arc, the intercepted arc has
twice the measure of the inscribed angle, so b
2(58) 116.
11-3
5
Inscribed Angles
GEOMETRY LESSON 11-3
11-3
6
Inscribed Angles
GEOMETRY LESSON 11-3
11-3