MathPlotAI Logo MathPlotAI

Congruent Transformations by azb

Congruent Transformations by azb
Loading the math board and drawing, please wait…
2015-02-23 00:31
TriangleCoordinate GeometryTransformation
This example demonstrates the effects of rotation, translation, and reflection on a triangle. It involves core mathematical concepts like congruent transformations, vectors, and coordinate geometry. Constructed using GeoGebra commands such as Polygon, Rotate, Translate, Mirror, and Vector. Suitable for middle school and above students to understand the properties of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, (-Degrees), D) → A'
  3. Rotate(B, (-Degrees), D) → B'
  4. Rotate(C, (-Degrees), D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Textfield(X_1) → inputBox1
  7. Textfield(Y_1) → inputBox2
  8. Vector(E, F) → u
  9. Translate(A, u) → A'_1
  10. Translate(B, u) → B'_1
  11. Translate(C, u) → C'_1
  12. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  13. Mirror(A, g) → A'_2
  14. Mirror(B, g) → B'_2
  15. Mirror(C, g) → C'_2
  16. Polygon(A'_2, B'_2, C'_2) → poly1'_2, c'_2, a'_2, b'_2
  17. Mirror(A, f) → A'_3
  18. Mirror(B, f) → B'_3
  19. Mirror(C, f) → C'_3
  20. Polygon(A'_3, B'_3, C'_3) → poly1'_3, c'_3, a'_3, b'_3

AI Drawing Prompt Reference

Draw a triangle, then rotate it 180 degrees around a point, translate it by a vector, and reflect it across two lines, drawing each transformed triangle to show the effects of rotation, translation, and reflection, with text boxes labeling key point coordinates and the vector.
The prompt above was compiled from the original drawing commands and is for reference only.