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Addition of Complex Numbers Geometrically

Addition of Complex Numbers Geometrically
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2016-04-08 02:40
Coordinate GeometryComplex NumberGeometric Construction
This example demonstrates the geometric representation of complex number addition. Key mathematical concepts include complex numbers and their addition. Using GeoGebra commands such as Polygon, Div, If, etc., the geometric meaning of complex number addition is visually illustrated. Suitable for students at middle school level and above to learn the concept and geometric representation of complex number addition.

GeoGebra Commands & Parameters

  1. Polygon((Edge, y(Corner[1])), Corner[2], Corner[3], (Edge, y(Corner[4]))) → Mask, a, b, c, d
  2. Div(power1, 4) → r1
  3. If(x(num1 + num2) ≠ 0, x(num1 + num2), "") → finalReal
  4. Mod(power1, 4) → rem1
  5. Mod(power2, 4) → rem2
  6. If(x(num1 + num2) ≟ 0, 2, If[y(num1 + num2) ≟ 0, 1, 3]) → ConclusionCount
  7. If(abs(imaginary1) ≟ 1, If[imaginary1 ≟ 1, "", "-"], LaTeX[imaginary1]) → imaginary1a
  8. If(abs(imaginary2) ≟ 1, If[imaginary2 ≟ 1, "", "-"], LaTeX[imaginary2]) → imaginary2a