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Arcs of Chords
ChordsConnects two points on thecircumference of the circle.
O
S
U
Segment SU is a chord.
Arcs of ChordsThe endpoints of a chord
form an arc.
O
S
UChord SU forms arc SU.
Five Things to Remember about Arcs of Chords
In the same circle or congruent circles, #1 Congruent arcs have congruent chords.
O
A
K
X
T Arc AK = 80 and arc TX = 80
Since Arc AK arc TX , then…
Chord AK chord TX .
80
80
Five Things to Remember about Arcs of Chords
In the same circle or congruent circles, #2 Congruent chords have congruent arc.
O
A
K
X
T Chord TX = 8 and chord AK = 8
Since chord AK chord TX , then…
Arc AK arc TX .
8
8
Five Things to Remember about Arcs of Chords
#3 A diameter that is perpendicular to a chord, bisects the chord and it’s arc.
OC B
A
F
Segment BE segment BF and…
Arc CF arc CE .
E
Segment CA is a diameter.
Diameter CA is perpendicular to chord EF, so…
Five Things to Remember about Arcs of Chords
In the same circle or congruent circles, #4 Chords with the same distance from the center are
congruent.
X
U V
T
RSegment SX = 5 and segment XW = 5
Since SX XW , then…
Chord RT chord UV .
5
80
5
W
S
Five Things to Remember about Arcs of Chords
In the same circle or congruent circles, #5 Congruent chords are the same distance away from
the center.
X
U V
T
RChord RT = 6 and chord UV = 6.
Since RT UV , then…
SX XW .
3
3
W
S
3
3
