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Example of Complex Number Multiplication #2

Example of Complex Number Multiplication #2
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2019-03-20 19:29
Complex NumberTransformationGeometric Construction
This example demonstrates the process of multiplying complex numbers. The key mathematical concept involved is the multiplication of complex numbers. Using GeoGebra commands such as Polygon, Dilate, and Translate, the geometric meaning of complex number multiplication is visually illustrated. Suitable for students at the junior high school level and above to learn complex number operations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Polygon(A, D, E) → t2, e, a_1, d
  3. Dilate(A, h) → A'
  4. Dilate(B, h) → B'
  5. Dilate(C, h) → C'
  6. Polygon(A', B', C') → t3, c', a', b'
  7. Dilate(Polygon[Rotate[A, turn, A], Rotate[B, turn, A], Rotate[C, turn, A]], v) → t4
  8. Translate(t4, Vector[A, C']) → t5
  9. Translate(Polygon[Rotate[A, turn, A], Rotate[B, turn, A], Rotate[C, turn, A]], Vector[A, C']) → t6