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Understanding Perpendicular Bisectors in Geometry

Feb 20, 2025

Perpendicular Bisector

Definition

  • A perpendicular bisector is a line that intersects a line segment at a right angle (90 degrees).

Components

  • The perpendicular bisector is represented by a green line.
  • Labels:
    • One side is labeled A.
    • The other side is labeled B.
    • The point where the bisector intersects the line segment is labeled C.

Properties

  • The angles formed at the intersection point are:
    • Angle OCA = 90 degrees
    • Angle OCB = 90 degrees
  • The perpendicular bisector divides the line segment into two equal parts:
    • Length AC
    • Length CB

Conclusion

  • The perpendicular bisector is a key geometric concept that creates two equal sections of a line segment while maintaining right angles at the intersection.