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Rotation in Coordinate Plane (2): Question Generator

Rotation in Coordinate Plane (2): Question Generator
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2022-12-12 20:44
Coordinate GeometryTransformationGeometric Construction
In collections Translations, Rotations, Reflections Exercises
This example demonstrates the rotation phenomenon in the coordinate plane, involving key mathematical concepts such as rotation and geometric transformations. Using GeoGebra commands like Random, If, and Rotate, different types of rotation questions can be generated. Suitable for middle school and above students or teachers to help understand and practice rotation-related geometric problems.

GeoGebra Commands & Parameters

  1. Random(1, 4) → n
  2. Random(0, 1) → dir
  3. If(n ≟ 1, 90°, n ≟ 2, 180°, n ≟ 3, 270°, 360°) → α
  4. Random(-15, 15) → a
  5. Random(-15, 15) → b
  6. If(dir ≟ 0, α, (-α)) → β
  7. Random(-15, 15) → c
  8. Random(-15, 15) → d
  9. If(dir ≟ 0, "counterclockwise", "clockwise") → text2
  10. Rotate(B, β, A) → B'
  11. Rotate(A, β, B) → A'
  12. Random(1, 3) → qtype
  13. If(C ≟ A', "√", "X") → text8
  14. Textfield(C) → InputBox1
  15. Rotate(A, (-β), B) → A'_{1}
  16. If(C ≟ A'_{1}, "√", "X") → text9
  17. SelectedElement(l1) → text10
  18. SelectedElement(l1) → text11
  19. SelectedElement(l1) → text12
  20. SelectedElement(l1) → text13
  21. SelectedIndex(l1) → e
  22. SelectedIndex(l2) → f
  23. If(e ≟ 2 ∧ f ≟ 2, 90°, e ≟ 3 ∧ f ≟ 3, -180°, e ≟ 4 ∧ f ≟ 3, -270°, e ≟ 5 ∧ f ≟ 3, -360°, e ≟ 3 ∧ f ≟ 2, 180°, e ≟ 4 ∧ f ≟ 2, 270°, e ≟ 5 ∧ f ≟ 2, 360°, e ≟ 2 ∧ f ≟ 3, -90°) → g
  24. Rotate(B, g, A) → B'_{1}
  25. If(B' ≟ B'_{1}, "√", "X") → text16

AI Drawing Prompt Reference

Draw a rotation figure on a coordinate plane. First, draw point A and point B. Then, randomly select an angle α and determine the rotation direction β based on dir. Rotate point B around point A by angle β to get point B'. Rotate point A around point B by angle β to get point A'. Randomly select a type qtype and display √ or X based on the relationship between point C and point A' or point A'_{1}. Finally, display √ or X based on the relationship between point C and point B'_{1}. Ensure the figure includes points A, B, B', A', B'_{1} and possible √ or X markers.
The prompt above was compiled from the original drawing commands and is for reference only.