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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.

Key Points

  • Labeling:

    • One side of the bisector is labeled A.
    • The other side is labeled B.
    • The point where the bisector intersects the line segment is labeled C.
  • Angle Measurement:

    • The angles formed at point C, which are angle OCA and angle OCB, measure 90 degrees.
  • Segment Division:

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

Visualization

  • A green line represents the perpendicular bisector in the illustration.