Perpendicular Bisector

Definition

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

Diagram Representation

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

Properties

• Angles:
  • The angles formed by the bisector and the line segment are:
    • Angle OCA = 90 degrees
    • Angle OCB = 90 degrees
• Divides the Segment:
  • The line segment is divided into two equal parts:
    • AC (one part)
    • CB (the other equal part)

Importance

• The perpendicular bisector is used in various geometric constructions and proofs, ensuring equal division of segments.