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Discovering the Segment Addition Postulate

Discovering the Segment Addition Postulate
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2015-08-25 00:27
VectorCoordinate GeometryGeometric Construction
In collections Geometry: Introductory Definitions, Postulates, Theorems CCSS High School: Algebra (Creating Equations) CCSS High School: Algebra (Creating Equations)
This applet demonstrates the segment addition postulate through a simple, color-coded visual, guiding students to discover the principle. It involves core math concepts like segments, distances, translations, and midpoints. Constructed using GeoGebra commands such as Line, Point, Segment, Distance, Translate, Midpoint, Circle, Intersect, Vector, and Textfield. Ideal for middle school students exploring basic geometric principles.

GeoGebra Commands & Parameters

  1. Line(F, G) → b
  2. Point(b) → A
  3. Point(b) → B
  4. Point(b) → C
  5. Segment(A, B) → a
  6. Segment(B, C) → c
  7. Point(a) → D
  8. Point(c) → E
  9. Distance(A, B) → distanceEF
  10. Distance(B, C) → distanceFG
  11. Translate(A, u) → A'
  12. Translate(C, u) → C'
  13. Segment(A', C') → d
  14. Midpoint(d) → H
  15. Circle(H, 2.5) → e
  16. Intersect(e, d, 1) → I
  17. Intersect(e, d, 2) → J
  18. Vector(I, A') → v
  19. Vector(J, C') → w
  20. Distance(A', C') → distanceA'C'
  21. Textfield(f) → InputBox1