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Segment Addition Postulate Problem 3 (SAP)

Segment Addition Postulate Problem 3 (SAP)
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2015-08-25 02:50
FunctionCoordinate GeometryInequalityGeometric ConstructionSlider Animation
In collections Geometry: Introductory Definitions, Postulates, Theorems CCSS High School: Algebra (Creating Equations) CCSS High School: Algebra (Creating Equations)
This interactive GeoGebra applet presents a problem where students apply the Segment Addition Postulate to find unknown lengths when a segment is divided into parts. The core mathematical concepts involve segment lengths, distance measurement, additive relationships, and solving linear equations. Construction highlights: the applet uses GeoGebra commands such as Line, Point, Segment, Distance, Translate, Midpoint, Circle, Intersect, Vector, and Textfield to build the geometric setupcars, along with interactive InputBoxes for student responses and dynamic text objects (e.g., distanceEF, distanceFG, TextEF, TextFG) to display values. It is suitable for middle school or early high school geometry lessons focusing on segment operations and equation solving, and can serve as a classroom activity or self-paced practice tool to reinforce the postulate through visual and interactive feedback.

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
  22. Textfield(g) → InputBox2
  23. Textfield(h) → InputBox3
  24. Textfield(i) → InputBox4