##

##

##

##
**Day two: The properties of Chord
in Circles**

##
by Nami Youn

###

**Objective
**

To discover the relationship of the
center angle and the chord
To understand the properties of the perpendicular bisector of the chord

To find the distance from the center of a circle to the chord

**1. The center angle, Arc, and
Chord**

**Property 1 : In a circle.
the length of arc (or chord) with the same central angle is always the
same.**

**Also, in the congruent circles,
this property is satisfied.**

Gsp file

**Property 2 : The length of
an arc is proportional to the center angle of the circle.**

** But, the length of a chord
is not.**

GSP file

**2. The perpendicular bisector
of a chord.**

**Property : The perpendicular
line from the center to the chord of a circle bisects this chord.**

**The perpendicular bisector of
a chord in a circle passes through the center of the circle.**

Gsp file

**3. The length of a chord**

**Property : If from the center
of a circle, the distance to a chord is equal to that of another chord
in a circle, two chords have the same length.**

Gsp file

**Return to Nami's homepage**
**Return to Instruction Unit Home**