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Reflection across a line by Susan Sarkissian

Reflection across a line by Susan Sarkissian
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2016-12-12 09:32
VectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the reflection transformation of points, line segments, and polygons across a line. It involves core math concepts like reflection symmetry, vector operations, and coordinate geometry. Construction uses commands Polygon, Textfield, Mirror, Midpoint, Vector with objects like fsi, boolsi, fstan, A, B, C, poly1_1, etc. Suitable for high school mathematics teaching on geometric transformations and coordinate geometry applications.

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 line and place a triangle and a point on each side of it. Show the reflection of the triangle and point across the line, highlighting the midpoints of the original and reflected points and the vectors connecting these midpoints. Label the key points and vectors with text fields.
The prompt above was compiled from the original drawing commands and is for reference only.