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Reflection and Translation of Points

Reflection and Translation of Points
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2014-08-25 06:54
FunctionCoordinate GeometryTransformation
This example explores the change in ordinates through the reflection and vertical or horizontal translation of points. Key mathematical concepts include reflection and translation transformations. It utilizes commands such as Mirror, Polygon, and TextField in GeoGebra. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Textfield(HT) → inputBox1
  2. Textfield(VT) → inputBox2
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Mirror(A, xAxis) → A'
  5. Mirror(B, xAxis) → B'
  6. Mirror(C, xAxis) → C'
  7. Mirror(D, xAxis) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'
  9. Mirror(A, yAxis) → A'_1
  10. Mirror(B, yAxis) → B'_1
  11. Mirror(C, yAxis) → C'_1
  12. Mirror(D, yAxis) → D'_1
  13. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1
  14. Mirror(A', yAxis) → A''
  15. Mirror(B', yAxis) → B''
  16. Mirror(C', yAxis) → C''
  17. Mirror(D', yAxis) → D''
  18. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''
  19. Polygon(H, G, F, E) → Horizontal, h_1, g_1, f_1, e_1
  20. Polygon(L, K, J, I) → Vertical, l, k, j_1, i_1
  21. Polygon(P, O, N, M) → Translated, p, o, n_1, m_1

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, then reflect it over the x-axis and y-axis, and reflect the resulting points over the y-axis again. Finally, draw the horizontally, vertically, and translation-transformed shapes. Start by drawing ABCD, then reflect it over the x-axis to get A'B'C'D', reflect A'B'C'D' over the y-axis to get A''B''C''D'', draw the horizontally transformed shape, and finally draw the vertically and translation-transformed shapes.
The prompt above was compiled from the original drawing commands and is for reference only.