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.