Apply properties of chords

1. Chords
The student is able to (I can):
• Apply properties of chords

2. In the same circle (or in congruent circles), two minor arcs
are congruent if and only if their corresponding chords are
congruent.
E
R
O
F
m m
FO RE
FO RE



3. If a radius or diameter is perpendicular to a chord, then it
bisects the chord and its arc.
ER GO
G
E
O
R
A
GA AO
GR RO

4. Example
Find the length of .BU

B
L
U
E2
5
x

5. Example
Find the length of .BU

B
L
U
E
3333
2
5
2 2 2
3 5x 
x
x = 4
BU = 2(4) = 8

6. If one chord of a circle is a perpendicular bisector of another
chord, then the first chord is a diameter.
The midpoint of the diameter would be the center of
the circle.
G
W
O
N
A
If is a  bisector
of , then is a
diameter.
WN
GO WN

7. A while back, I needed to find the center of a circle, so I used
this property. 

8. A while back, I needed to find the center of a circle, so I used
this property. 
Step 1: I drew
a chord
Step 2: I drew the
perpendicular bisector,
which is a diameter.

9. A while back, I needed to find the center of a circle, so I used
this property. 
Step 3: I measured and
found the midpoint of the
diameter, which gave me
the center!