MathPlotAI Logo MathPlotAI

Reflection Property of the Hyperbola

Reflection Property of the Hyperbola
Loading the math board and drawing, please wait…
2015-08-01 09:40
Coordinate GeometryGeometric Construction
In collections Geometric Properties of Conics
This GeoGebra example illustrates the reflection property of the hyperbola. Key mathematical concepts include hyperbola and reflection. Using commands like Point, Mirror, Hyperbola, Segment, Tangent, etc., the example constructs a dynamic demonstration of the hyperbola and its reflection property. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(c) → S
  2. Mirror(S, yAxis) → S'
  3. Point(c) → A
  4. Hyperbola(S, S', A) → f
  5. Point(f) → P
  6. Segment(P, S) → d
  7. Tangent(P, f) → a,
  8. Point(a) → B
  9. Point(a) → C
  10. Angle(S', P, C) → α
  11. Angle(C, P, S) → β
  12. Angle(S', P, B) → δ
  13. Angle(S, P, B) → γ
  14. Segment(S', P) → b