Arcs and Chords
Section 10-3
Theorem 9-1
In a circle or in congruent circle,
two minor arcs are congruent iff
their corresponding chords are
C
A
congruent.
If AB  CD ,
AB  CD
B
D
A polygon is an inscribed
polygon if each of its
vertices lies on a circle.
Theorem 10-3
In a circle, if a diameter is
perpendicular to a chord,
then it bisects the chord and
A
its arc.
AB  CD
AX  XB
C
AD  DB
D
X
B
Theorem 10-4
In a circle or in congruent
circles, two chords are
congruent iff they are
equidistant from the center.
X
R
A
P
C
M
B
AX=PM
Joke Time
What’s a cow’s favorite
painting?
The Moona Lisa
What does the tooth fairy
give for half a tooth?
Nothing. She wants the
tooth, the whole tooth, and
nothing but the tooth!