Perpendicular Bisector Lecture Notes

Definition

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

Diagram Details

• Labeling:
  • One side of the bisector is labeled A.
  • The other side is labeled B.
  • The intersecting point is labeled C.

Properties

• The perpendicular bisector intersects the line segment at a right angle (90 degrees).
• The angles formed at the intersection are:
  • Angle OCA = 90 degrees
  • Angle OCB = 90 degrees

Conclusion

• The segment is divided into two equal parts:
  • AC = one part
  • CB = the other equal part.