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Rational Multiplication of Lengths

Rational Multiplication of Lengths
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2016-05-12 11:25
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the concept of rational multiplication of lengths. Key mathematical concepts include length multiplication and geometric construction. Using GeoGebra commands such as Segment, Polygon, and Intersect, the process of length multiplication is visually illustrated. Suitable for middle school and above students to learn geometry and algebra.

GeoGebra Commands & Parameters

  1. Segment(B, A) → a
  2. Polygon(B, G, C_1, A) → poly1, a_1, g, c, b
  3. Polygon(G, H, D_1, C_1) → poly2, g_1, h, d, c_1
  4. Polygon(H, I, D, D_1) → poly3, h_1, i, e, d_1
  5. Polygon(I, J, C, D) → poly4, i_1, j, f, e_1
  6. Segment(B, C_1) → k
  7. Segment(B, D_1) → l
  8. Segment(B, D) → m
  9. Segment(B, C) → p
  10. Intersect(p, poly4) → E, L
  11. Segment(E, D) → zAnswer