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Coordinate Plane Rotation Question Generator

Coordinate Plane Rotation Question Generator
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2022-12-12 21:03
Coordinate GeometryTransformationGeometric Construction
In collections Translations, Rotations, Reflections Exercises
This example demonstrates how to generate rotation practice questions in the coordinate plane. Key mathematical concepts include rotation and geometric transformations. Using GeoGebra commands such as Random, Rotate, and Textfield, dynamic rotation graphics are constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a rotation practice diagram on a coordinate plane. Choose a point A and point B. Rotate point B around point A to get B'. Then rotate point A around point B by the same angle to get A'. Label the rotation direction and angle. Add an input box for user input. Ensure the diagram is clear and suitable for middle school students or teachers.
The prompt above was compiled from the original drawing commands and is for reference only.