MathPlotAI Logo MathPlotAI

Reflection Practice by Shauna McIntosh

Reflection Practice by Shauna McIntosh
Loading the math board and drawing, please wait…
2017-03-15 08:41
FunctionTransformationGeometric Construction
This example demonstrates reflection transformations in geometry. Key mathematical concepts include reflection and geometric construction. It uses GeoGebra commands such as Mirror, Line, and Segment. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. RandomElement({(2, 3), (3, 3), (3, 2), (1, 3)}) → D
  2. Sequence(Sequence[(i, j), i, 1, 5], j, 1, 5) → list1
  3. Flatten(list1) → list2
  4. Shuffle(list2) → list3
  5. First(list3, 1) → list4
  6. Take(list3, 3, 3) → list6
  7. Point(list6) → A
  8. Take(list3, 2, 2) → list5
  9. Point(list6) → C
  10. Point(list5) → B
  11. Line(A, B) → lineAB
  12. Line((2, 2), D) → c
  13. Segment(A, B) → a
  14. Segment(E, F) → d
  15. Segment(F, G) → e
  16. Mirror(B, c) → B'
  17. If(Distance[C, lineAB] ≟ 0, C + (sgn(x(lineAB)), sgn(y(lineAB))), C) → CC
  18. Mirror(CC, c) → C'
  19. Segment(B', C') → b'
  20. Mirror(A, c) → A'
  21. Segment(B', A') → f
  22. Segment(B, CC) → b
  23. Distance(C, Line[A, B]) → h