Perpendicular Bisector

Definition

• A perpendicular bisector is a line that divides a line segment into two equal parts.
• It intersects the line segment at a 90-degree angle.

Key Points

• Representation: The perpendicular bisector is shown by a green line in the illustration.
• Labeling:
  • One side is labeled as A.
  • The other side is labeled as B.
  • The intersecting point of the bisector is labeled as C.

Geometry

• The angles formed at the intersection are:
  • Angle OCA = 90 degrees
  • Angle OCB = 90 degrees
• This means that:
  • AC = one equal part of the segment
  • CB = the other equal part of the segment

Conclusion

• The perpendicular bisector is crucial in geometry for creating equal segments and maintaining right angles.