To understand the properties of the perpendicular bisector of the chord
To find the distance from the center of a circle to the 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.
Property 2 : The length of
an arc is proportional to the center angle of the circle.
But, the length of a chord
is not.
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.
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.
