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Reflection Across a Line

Reflection Across a Line
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2017-12-13 02:19
FunctionCoordinate GeometryTransformation
This example demonstrates reflection across a line. Key mathematical concepts include reflection transformation. It uses commands like Polygon, Textfield, Mirror, Midpoint, and Vector in GeoGebra. Suitable for high school geometry, helping students understand the concept of reflection transformation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1_1, c_1, a_1, b_1
  2. Textfield(B) → inputBoxB
  3. Textfield(A) → inputBoxA
  4. Textfield(C) → inputBoxC
  5. Mirror(B, If[boolsi ≟ true, fsi, fstan]) → B'
  6. Mirror(C, If[boolsi ≟ true, fsi, fstan]) → C'
  7. Mirror(A, If[boolsi ≟ true, fsi, fstan]) → A'
  8. Polygon(C', A', B') → poly1, b', c', a'
  9. Midpoint(B, B') → B_v
  10. Midpoint(C, C') → C_v
  11. Midpoint(A, A') → A_v
  12. Vector(B, B_v) → v_1
  13. Vector(B', B_v) → v_2
  14. Vector(C, C_v) → w_1
  15. Vector(C', C_v) → w_2
  16. Vector(A, A_v) → u_1
  17. Vector(A', A_v) → u_2
  18. Textfield(fstan) → inputfstan
  19. Textfield(fsi) → inputfsi

AI Drawing Prompt Reference

Draw a triangle and demonstrate its reflection across a line. Start by drawing the original triangle, then mark its three vertices. Reflect each vertex across the line to get new vertices, and connect these new vertices to form the reflected triangle. Finally, mark the midpoints between the original and new vertices, and draw vectors from the original vertices to these midpoints to show the geometric meaning of the reflection transformation.
The prompt above was compiled from the original drawing commands and is for reference only.