A perpendicular bisector is a line that intersects a line segment at a right angle (90 degrees).
Key Components
Green Line: Represents the perpendicular bisector.
Points:
A: One endpoint of the line segment.
B: The other endpoint of the line segment.
C: The point where the perpendicular bisector intersects the line segment.
Properties
Angle Measurement:
Angle OCA = 90 degrees
Angle OCB = 90 degrees
Equal Segments:
The perpendicular bisector divides the line segment into two equal parts:
AC = one part
CB = the other part
Summary
The perpendicular bisector is crucial for creating equal segments of a line and ensures that the angles formed at the intersection with the segment are right angles.