Transcript Chapter 12.2 Chords and Arcs

Chapter 12.2 Chords and Arcs
Theorem 12.4
• Within a circle or in congruent circles
– 1) Congruent central angles have congruent
chords
– 2) Congruent chords have congruent arcs
– 3) Congruent arcs have congruent central angles
B
O
D
C
BC  DF
P
F
Theorem 12.5
• Within a circle or in congruent circles
– 1) Chords equidistant from the center are
congruent
– 2) Congruent chords are equidistant from the
center
Theorem 12.6
• In a circle, a diameter that is perpendicular to
a chord bisects the chord and its arcs
Theorem 12.7
• In a circle, a diameter that bisects a chord
(that is not a diameter) is perpendicular to the
chord
Theorem 12.8
• In a circle, the perpendicular bisector of a
chord contains the center of the circle
Classwork
• Pgs 673-674 #1-20