Let’s look at a few terms.
Chord
Central angle
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.
Theorem 12-5:
Within a circle or in
congruent circles
1. Chords equidistance
from the center are
congruent.
2. Congruent chords are
equidistance from the
center.
Example:
Theorem 12-6:
In a circle, a diameter
that is perpendicular
to a chord bisects the
chord and its arc.
Theorem 12-7:
In a circle, a diameter
that bisects the chord
is perpendicular to a
chord.
Theorem 12-8:
In a circle, the
perpendicular
bisector of a chord
contains the center of
the circle.
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