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Ellipse Reflection

Ellipse Reflection
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2018-01-26 09:26
FunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the reflection properties of an ellipse and its relationship with function graphs. Key mathematical concepts include the definition of an ellipse, reflection symmetry, and function graphing. Construction involves using GeoGebra commands like Point, Circle, Segment, LineBisector, and Intersect to build the ellipse, its reflection line, intersection points, etc. Suitable for high school coordinate geometry teaching to visually understand the symmetry and transformation properties of ellipses.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Circle(A, B) → c
  3. Point(c) → D
  4. Segment(C, D) → f
  5. LineBisector(f) → g
  6. Segment(A, D) → j
  7. Intersect(g, j) → F
  8. Intersect(g, f) → E
  9. Segment(C, F) → h