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 Points

• Labeling:

  • One side of the line segment is labeled A.
  • The other side is labeled B.
  • The intersecting point is labeled C.

• The perpendicular bisector (shown by a green line) intersects the line segment AB at point C.

Characteristics

• The angles formed by the perpendicular bisector are:

  • Angle OCA = 90 degrees
  • Angle OCB = 90 degrees

• The line segment is divided into two equal parts:

  • AC = one part
  • CB = the other equal part

Conclusion

• The perpendicular bisector effectively splits the line segment into two equal lengths, maintaining symmetry.