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Circle and Secant Interaction Demo

Circle and Secant Interaction Demo
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2020-04-09 07:14
CircleTrigonometryGeometric Construction
This example demonstrates the geometric relationship between a circle and two secant lines through interactive manipulation. Key math concepts include the secant theorem, circle properties, angle and length calculations. It is constructed using GeoGebra commands like Circle, Point, Line, Intersect, Segment, and If. Suitable for high school mathematics education to understand the geometric properties and practical applications of secants and circles.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Point(c) → E
  3. Point(c) → G
  4. Line(Q, E) → qeLine
  5. Line(Q, G) → qgLine
  6. Intersect(c, qgLine) → h_1, h_2
  7. Intersect(c, qeLine) → f_{1}, f_2
  8. Segment(f_{1}, f_2) → efChord
  9. Segment(h_1, h_2) → ghChord
  10. If(x(f_{1}) ≟ x(E), f_2, f_{1}) → F
  11. If(x(h_1) ≟ x(G), h_2, h_1) → H
  12. Segment(E, Q) → QE
  13. Segment(Q, G) → QG
  14. Segment(F, Q) → QF
  15. Segment(Q, H) → QH