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: A
  • Other side: B
  • Intersecting point: C

Properties

• Intersection:
  • The perpendicular bisector intersects the line segment at a right angle (90 degrees).
  • Angle OCA and angle OCB both measure 90 degrees.

Segments Created

• The perpendicular bisector divides the line segment into two equal parts:
  • AC (one part)
  • CB (other equal part)

Visualization

• A visual representation includes:
  • Green line representing the perpendicular bisector.