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Intersecting Chords Theorem

Intersecting Chords Theorem
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2013-10-10 13:21
CircleCoordinate GeometryGeometric Construction
This applet illustrates the theorem that the products of the intercepts of two intersecting chords (or secants) are equal. Key mathematical concepts include circles, line segments, and geometric construction. It uses commands like Circle, Point, Line, Intersect, Segment in GeoGebra. Suitable for middle school and above students learning geometry.

GeoGebra Commands & Parameters

  1. Circle(O, X) → c
  2. Point(c) → B
  3. Point(c) → A
  4. Line(B, A) → a
  5. Point(c) → C
  6. Point(c) → D
  7. Line(C, D) → b
  8. Intersect(a, b) → P
  9. Segment(B, P) → d
  10. Segment(P, A) → e
  11. Segment(C, P) → f
  12. Segment(D, P) → g

AI Drawing Prompt Reference

Draw a circle and select four points A, B, C, and D on it. Connect points A and B, and C and D, which will intersect at point P inside the circle. Then draw segments from B, A, C, and D to P to illustrate the intersecting chords theorem.
The prompt above was compiled from the original drawing commands and is for reference only.