Perpendicular Bisector

Definition

• 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.
• Labeling:
  • Side A (one part of the segment)
  • Side B (the other part of the segment)
  • Intersecting Point C (where the perpendicular bisector intersects the line segment)

Geometric Properties

• The perpendicular bisector divides the line segment into two equal parts:
  • AC: One half of the segment
  • CB: The other half of the segment
• Angles formed:
  • Angle OCA = 90 degrees
  • Angle OCB = 90 degrees

Conclusion

• The perpendicular bisector is essential for constructing equal segments and understanding geometric relationships.