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Ratios and Line Segments (v1)

Ratios and Line Segments (v1)
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2018-11-21 06:33
Coordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates how to manipulate the ratio between two numbers and visualize the resulting ratio as represented on a line segment. It involves core math concepts like ratios, line segments, and geometric representation. The construction uses GeoGebra commands: Segment, Line, Intersect, Sequence, FractionText. Suitable for middle school and above students to understand the relationship between ratios and line segments, and for practicing geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C_1, B) → g
  3. Segment(C_1, A) → h
  4. Line(C, h) → l
  5. Intersect(l, g) → E
  6. Segment(C, E) → m
  7. Segment(E, B) → n
  8. Segment(A, C) → p
  9. Segment(C, B) → q
  10. Sequence(((n / (a + b) * c), (n / (a + b) * d)), n, 0, a + b, 1) → L_1
  11. FractionText(C) → text9
  12. FractionText(B) → text10