MathPlotAI Logo MathPlotAI

Congruent Transformations

Congruent Transformations
Loading the math board and drawing, please wait…
2015-04-28 23:43
TriangleVectorTransformationGeometric Construction
This example demonstrates reflections, rotations, and translations of 2D shapes (specifically triangles). A dynamic environment allows students to pose their own problems. Core math concepts include transformations, vectors, and angles. Construction highlights the use of GeoGebra commands like Polygon, Line, Mirror, Rotate, Vector, and Translate. Suitable for middle school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → Object, c, a, b
  2. Line(D, E) → d
  3. Mirror(A, d) → A'
  4. Mirror(B, d) → B'
  5. Mirror(C, d) → C'
  6. Polygon(A', B', C') → Reflection, c', a', b'
  7. Rotate(A, -angle, CoR) → A''
  8. Rotate(B, -angle, CoR) → B''
  9. Rotate(C, -angle, CoR) → C''
  10. Polygon(A'', B'', C'') → Rotation, c'_1, a'_1, b'_1
  11. Vector(F, G) → u
  12. Translate(A, u) → A'''
  13. Translate(B, u) → B'''
  14. Translate(C, u) → C'''
  15. Polygon(A''', B''', C''') → Translation, c'_2, a'_2, b'_2
  16. Translate(B, u) → B'_1
  17. Vector(B, B'_1) → v
  18. Translate(A, u) → A'_1
  19. Vector(A, A'_1) → Translation_1
  20. Translate(C, u) → C'_1
  21. Vector(C, C'_1) → z