MathPlotAI Logo MathPlotAI

Exploring Reflection and Rotation

Exploring Reflection and Rotation
Loading the math board and drawing, please wait…
2017-12-25 10:14
PolygonAngleGeometric Construction
This example dynamically demonstrates the relationship between reflection and rotation using points, lines, and polygons, revealing their intrinsic connection in geometric transformations. Core concepts include angles, reflection symmetry, rotational transformation, and geometric construction. GeoGebra commands and objects like Line, Polygon, Rotate, OrthogonalLine, Intersect, Segment, Angle, and SelectedIndex are utilized in the construction. Suitable for high school students and math enthusiasts to understand the intersection of transformation geometry and coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(D, E) → f
  2. Polygon(B, A, C) → poly1, c, b, a
  3. Rotate(A, ((d * 180))°, f) → A'
  4. Rotate(C, ((d * 180))°, f) → C'
  5. Rotate(B, ((d * 180))°, f) → B'
  6. Polygon(A', B', C') → poly2, c', a', b'
  7. OrthogonalLine(A, f, space) → g
  8. OrthogonalLine(C, f, space) → h
  9. OrthogonalLine(B, f, space) → i
  10. Intersect(g, f) → F
  11. Intersect(f, i) → G
  12. Intersect(f, h) → H
  13. Segment(A, F) → j
  14. Segment(B, G) → k
  15. Segment(C, H) → l
  16. Segment(F, A') → m
  17. Segment(G, B') → n
  18. Segment(H, C') → p
  19. Angle(C, H, E) → α
  20. Angle(B, G, E) → β
  21. Angle(A, F, E) → γ
  22. SelectedIndex(Bahasa) → nn