MathPlotAI Logo MathPlotAI

SSS Triangle Congruence Construction Exercise 1

SSS Triangle Congruence Construction Exercise 1
Loading the math board and drawing, please wait…
2017-02-01 07:29
TriangleCirclePolygonGeometric Construction
In collections Triangle Congruence Book 1
This GeoGebra example demonstrates the construction of a triangle using the Side-Side-Side (SSS) criterion. It covers core geometry concepts including triangle congruence and geometric construction techniques. The construction utilizes commands such as Segment, Circle, Intersect, and Polygon to define vertices and sides dynamically. Ideal for students learning Euclidean geometry, this interactive tool visualizes how three fixed side lengths determine a unique triangle shape.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(B, C) → a
  3. Segment(C, A) → b
  4. Line(D_1, E) → d_1
  5. Circle(E, c) → e_2
  6. Intersect(e_2, d_1, 1) → D
  7. Segment(D, E) → f
  8. Circle(E, a) → g
  9. Circle(D, b) → h
  10. Intersect(g, h, 2) → F
  11. Segment(D, F) → e
  12. Segment(F, E) → d
  13. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  14. Polygon(D, E, F) → poly2, g_1, f_1, e_1