MathPlotAI Logo MathPlotAI

SSS Congruence by Rabiya Mundol

SSS Congruence by Rabiya Mundol
Loading the math board and drawing, please wait…
2016-04-22 01:03
TrianglePolygonVectorCoordinate GeometryGeometric Construction
This example demonstrates the SSS (Side-Side-Side) Congruence Theorem. It shows how to construct a triangle given three sides and how to determine if two triangles are congruent by comparing their side lengths. The construction uses commands such as Circle, Point, Intersect, and Polygon in GeoGebra. Suitable for middle school and above students to learn about triangle congruence.

GeoGebra Commands & Parameters

  1. Circle(B, a) → d
  2. Point(d) → C
  3. Circle(C, b) → e
  4. Circle(B, c) → f
  5. Intersect(f, e) → A, D, ,
  6. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  7. AngularBisector(C, B, A) → g
  8. AngularBisector(A, C, B) → h
  9. Intersect(g, h) → E
  10. Vector(E, F) → v
  11. Translate(A, v) → P
  12. Translate(B, v) → Q
  13. Translate(C, v) → R
  14. Polygon(P, Q, R) → poly1'_1, c'_1, a'_1, b'_1
  15. OrthogonalLine(F, a'_1) → j
  16. Mirror(P, j) → G
  17. Mirror(Q, j) → H
  18. Mirror(R, j) → I
  19. Polygon(G, H, I) → poly2, i_1, g_1, h_1
  20. Dilate(F, i, E) → F'
  21. Vector(E, F') → u
  22. Translate(A, u) → A'
  23. Translate(B, u) → B'
  24. Translate(C, u) → C'
  25. Polygon(A', B', C') → poly1', c', a', b'