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CPCTC

CPCTC
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2016-06-14 08:25
TriangleVectorGeometric Construction
In collections Triangle Congruence Criteria Exploration
This example demonstrates the properties of congruent triangles, involving the core concepts of corresponding sides and angles being equal. Using GeoGebra commands such as Polygon, Line, and Vector, it illustrates the congruence transformations of triangles. Suitable for middle school and above students to learn about geometric transformations and congruent triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → PreImage, c, a, b
  2. Line(D, E) → ReflectionLine
  3. Line(G, H) → TranslationDirection
  4. Vector(G, G + (TranslationMagnitude * Vector[G, H])) → TranslationVector
  5. Translate(A, TranslationVector) → A'
  6. Translate(B, TranslationVector) → B'
  7. Translate(C, TranslationVector) → C'
  8. Polygon(A', B', C') → translated, c', a', b'
  9. Rotate(A', RotationAngle, RotationCenter) → A''
  10. Rotate(B', RotationAngle, RotationCenter) → B''
  11. Rotate(C', RotationAngle, RotationCenter) → C''
  12. Polygon(A'', B'', C'') → translated', c'', a'', b''
  13. Mirror(A'', ReflectionLine) → A'''
  14. Mirror(B'', ReflectionLine) → B'''
  15. Mirror(C'', ReflectionLine) → C'''
  16. Polygon(A''', B''', C''') → translated'', c''', a''', b'''