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 segment is labeled as A.
  • The other side is labeled as B.
  • The intersecting point of the perpendicular bisector is labeled as C.

• Properties:

  • The perpendicular bisector intersects the line segment AB at point C.
  • Angles formed by the intersecting line include:
    • Angle OCA = 90 degrees
    • Angle OCB = 90 degrees

• Division of Segments:

  • The line segment AB is divided into two equal parts:
    • AC (one part)
    • CB (the other equal part)

Conclusion

• The perpendicular bisector ensures that both segments are equal and makes a right angle with the original segment.