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Understanding Perpendicular Bisectors

Feb 20, 2025

Perpendicular Bisector

Definition

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

Components

  • Green Line: Represents the perpendicular bisector.
  • Labeling:
    • One side labeled as A
    • The other side labeled as B
    • The intersecting point labeled as C

Properties

  • Intersects the line segment at 90 degrees:
    • Angles formed:
      • OCA = 90 degrees
      • OCB = 90 degrees
  • Divides the line segment into two equal parts:
    • Segment AC
    • Segment CB

Conclusion

  • The perpendicular bisector effectively divides the segment into two equal lengths: AC and CB.