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Rational Multiplication of Length

Rational Multiplication of Length
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2015-10-20 00:17
Coordinate GeometryGeometric Construction
This example demonstrates how to scale a line segment's length using rational multiplication and visualize its geometric representation. It involves core math concepts like rational multiplication, line segment length, geometric construction, and proportional relationships. Constructed using GeoGebra commands and objects such as Segment, Polygon, and Intersect to create and manipulate geometric elements. Suitable for middle school and above students to learn and understand the application of rational multiplication in geometry, as well as for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

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