MathPlotAI Logo MathPlotAI

Drawing the Image After Reflection

Drawing the Image After Reflection
Loading the math board and drawing, please wait…
2020-06-22 21:20
FunctionCoordinate GeometryTransformation
This example demonstrates how to draw the image after a reflection. Key mathematical concepts include reflection transformation. Commands used include Random, Polygon, Segment, Mirror, etc. Suitable for middle school math education and students learning reflection transformation.

GeoGebra Commands & Parameters

  1. Random(-4, 4) → a
  2. Random(-4, 4) → b
  3. Random(-4, 4) → c
  4. Random(-4, 4) → d
  5. Random(-4, 4) → e
  6. Random(-4, 4) → f
  7. Random(-4, 4) → g
  8. Random(-4, 4) → h
  9. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  10. Segment(A, B) → i
  11. Segment(B, C) → j
  12. Segment(C, D) → k
  13. Segment(D, A) → l
  14. Random(-2, 2) → m
  15. Random(-2, 2) → n
  16. Random(-1, 1) → o
  17. RandomElement({y = m, x = n, y = (o * x) + m}) → q
  18. Mirror(A, q) → A'
  19. Mirror(B, q) → B'
  20. Mirror(C, q) → C'
  21. Mirror(D, q) → D'
  22. Polygon(A', B', C', D') → q1', a', b', c', d'
  23. DynamicCoordinates(G, round(x(G)), round(y(G))) → A_1
  24. DynamicCoordinates(H, round(x(H)), round(y(H))) → B_1
  25. DynamicCoordinates(E, round(x(E)), round(y(E))) → C_1
  26. DynamicCoordinates(F, round(x(F)), round(y(F))) → D_1
  27. Polygon(A_1, B_1, C_1, D_1) → q2, p, r, s, t
  28. Segment(C_1, D_1) → f_1
  29. Segment(A_1, D_1) → g_1
  30. Segment(A_1, B_1) → h_1
  31. Segment(B_1, C_1) → i_1
  32. Segment(D_1, A_1) → j_1
  33. If(A_1 ≟ A' ∧ B_1 ≟ B' ∧ C_1 ≟ C' ∧ D_1 ≟ D', "Correct!", "No. Try again.") → text1

AI Drawing Prompt Reference

Randomly generate four points on the coordinate plane and connect them to form a quadrilateral. Then randomly choose a line (horizontal, vertical, or slanted) and reflect each vertex of the quadrilateral across this line, obtaining four reflected points that are connected to form a new quadrilateral. Additionally, place four draggable integer-coordinate points and connect them into another quadrilateral. When these four integer points exactly match the reflected vertices, display "Correct!", otherwise show "No. Try again.". The whole figure demonstrates reflection transformation.
The prompt above was compiled from the original drawing commands and is for reference only.