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Coordinate Reflection

Coordinate Reflection
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2015-03-04 09:27
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the reflection transformation of points, lines, and polygons in a coordinate system. It involves core math concepts like coordinate geometry, symmetry, and geometric transformations. Construction highlights include using Polygon to draw shapes, Mirror for reflection, Intersect to find intersections, Line to draw lines, and Point to mark points. Suitable for middle school and above students learning coordinate geometry and geometric transformations, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Mirror(A, xAxis) → A'
  3. Mirror(B, xAxis) → B'
  4. Mirror(C, xAxis) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Mirror(A, yAxis) → A'_1
  7. Mirror(B, yAxis) → B'_1
  8. Mirror(C, yAxis) → C'_1
  9. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  10. Intersect(xAxis, yAxis) → O
  11. Line(O, E) → f
  12. Mirror(A, f) → A'_2
  13. Mirror(B, f) → B'_2
  14. Mirror(C, f) → C'_2
  15. Polygon(A'_2, B'_2, C'_2) → poly1'_2, c'_2, a'_2, b'_2
  16. Line(O, D) → g
  17. Mirror(A, g) → A'_3
  18. Mirror(B, g) → B'_3
  19. Mirror(C, g) → C'_3
  20. Polygon(A'_3, B'_3, C'_3) → poly1'_3, c'_3, a'_3, b'_3
  21. Point(xAxis) → F
  22. Line(F, O) → j
  23. Point(yAxis) → G
  24. Line(O, G) → k