MathPlotAI Logo MathPlotAI

SAS Congruence Postulate by kherdegen

SAS Congruence Postulate by kherdegen
Loading the math board and drawing, please wait…
2016-10-03 08:47
TriangleAngleGeometric Construction
In collections Chapter 4 - Triangle Congruence - Geometry
This example illustrates the SAS Congruence Postulate. By constructing two triangles, it demonstrates that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. The construction uses Segment, Vector, Circle, Point, Intersect, Line, and Angle commands in GeoGebra. Suitable for middle school and above students to learn about congruent triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, D) → g
  3. Vector(E, F) → u
  4. Vector(E, G) → v
  5. Circle(H, Segment[A, B]) → c
  6. Point(c) → I
  7. Segment(H, I) → h
  8. Circle(H, Segment[C, D]) → d
  9. Circle(H, Segment[E, G]) → e
  10. Circle(H, Segment[E, F]) → k
  11. Intersect(e, h, 1) → J
  12. Circle(J, Segment[G, F]) → p
  13. Intersect(k, p, 1) → K
  14. Line(H, K) → i
  15. Intersect(d, i, 2) → L
  16. Segment(H, L) → j
  17. Segment(L, I) → l
  18. Angle(G, E, F) → α
  19. Angle(I, H, L) → β
  20. Circle(M, Segment[A, B]) → q
  21. Point(q) → N
  22. Segment(M, N) → m
  23. Circle(M, Segment[E, G]) → r
  24. Circle(M, Segment[E, F]) → s
  25. Intersect(r, m, 1) → O
  26. Circle(O, Segment[G, F]) → t
  27. Intersect(s, t, 1) → P
  28. Line(M, P) → n
  29. Circle(M, Segment[D, C]) → c_1
  30. Intersect(c_1, n, 2) → Q
  31. Segment(N, Q) → a
  32. Segment(Q, M) → b
  33. Angle(N, M, Q) → γ