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Moodle Reflection and Translation Question

Moodle Reflection and Translation Question
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2019-12-14 21:53
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the effects of reflection and translation transformations, and their combinations on geometric figures. It involves core mathematical concepts such as reflection, translation, linear regression, linear equations, roots, LCM and GCD, and centroid. The construction utilizes GeoGebra commands like Remove, Element, Polygon, Mirror, Vector, Translate, Textfield, and If. Suitable for high school mathematics teaching, integrating geometric transformations with data analysis.

GeoGebra Commands & Parameters

  1. Remove(Sequence[-6, 6], {0}) → lvy
  2. Element(lvy, svy) → vy
  3. Remove(Sequence[-6, 6], {0}) → lvx
  4. Element(lvx, svx) → vx
  5. Polygon(C, A, B) → t1, b_1, c, a_1
  6. Mirror(C, eq1) → C'
  7. Mirror(A, eq1) → A'
  8. Mirror(B, eq1) → B'
  9. Polygon(C', A', B') → t1', b', c', a'
  10. Vector((refx, y(A)), (refx, vy + y(A))) → tv
  11. Translate(C', tv) → C''
  12. Translate(A', tv) → A''
  13. Translate(B', tv) → B''
  14. Polygon(C'', A'', B'') → t1'', b'', c'', a''
  15. Translate(eq1, tv) → eq1'
  16. Textfield(userX_2) → userreflect
  17. Mirror(C'', eq2) → C'''
  18. Mirror(A'', eq2) → A'''
  19. Mirror(B'', eq2) → B'''
  20. Polygon(C''', A''', B''') → t1''', b''', c''', a'''
  21. Vector((0, 0), (transX, transY)) → vtrans
  22. Translate(C''', vtrans) → C'''_1
  23. Translate(A''', vtrans) → A'''_1
  24. Translate(B''', vtrans) → B'''_1
  25. Polygon(C'''_1, A'''_1, B'''_1) → t1'''_1, b'''_1, c'''_1, a'''_1
  26. Textfield(transX) → InputBox1
  27. Textfield(transY) → InputBox2
  28. If(A ≟ A'''_1, true, false) → ans