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Ellipse Reflection by Steven Steinsaltz

Ellipse Reflection by Steven Steinsaltz
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2018-03-07 08:47
Coordinate Geometry
This example demonstrates the reflection of an ellipse. Key mathematical concepts include the geometric properties of ellipses and reflection transformations. Using GeoGebra commands such as Ellipse, Tangent, Segment, Circle, Line, and Intersect, the construction of the ellipse and its reflection effect is achieved. Suitable for high school mathematics education and learning, particularly in coordinate geometry and transformation geometry.

GeoGebra Commands & Parameters

  1. Ellipse((4, 0), (-4, 0), 5) → c
  2. Tangent(P, c) → f,
  3. Segment(F1, P) → g
  4. Segment(P, F2) → h
  5. Circle(P, h) → d
  6. Line(F1, P) → i
  7. Intersect(d, i, 2) → P'
  8. Segment(P, P') → j
  9. Segment(F2, P') → k
  10. Intersect(f, k) → M
  11. Point(f) → Q
  12. Point(f) → R