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Understanding Perpendicular Bisector Properties
Feb 20, 2025
Notes on Perpendicular Bisector
Definition
A
perpendicular bisector
is a line that divides a line segment into two equal parts at a 90-degree angle.
Key Components
Labeling:
One side of the segment is labeled
A
.
The other side is labeled
B
.
The intersecting point is labeled
C
.
Characteristics
The perpendicular bisector intersects the line segment at a right angle (90 degrees).
This creates two angles:
Angle OCA
= 90 degrees
Angle OCB
= 90 degrees
Segment Division
The line segment is divided into two equal parts:
AC
(one part)
CB
(the other equal part)
Visual Representation
The perpendicular bisector is shown by a
green line
in illustrations.
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