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Perpendicular Intersection of a Chord and the Radius

Perpendicular Intersection of a Chord and the Radius
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2016-02-11 03:08
CircleGeometric ConstructionLocus
This example demonstrates the perpendicular intersection of a chord and the radius in a circle. Key mathematical concepts include circle properties, chord length relationships, and geometric construction techniques. The construction uses GeoGebra commands such as Circle, Point, Segment, and OrthogonalLine. Suitable for middle school students learning geometry fundamentals or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Point(c) → B
  3. Segment(A, B) → a
  4. Point(a) → C
  5. OrthogonalLine(C, a) → b
  6. Intersect(c, b, 2) → D
  7. Intersect(c, b, 1) → E

AI Drawing Prompt Reference

Draw a circle, then a radius passing through its center, and a chord perpendicular to the radius. Mark the intersection point of the line through the chord's midpoint and the center, demonstrating the perpendicular relationship and geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.