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SSS Axiom Exercise 3

SSS Axiom Exercise 3
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2015-12-16 21:03
TriangleCoordinate GeometryGeometric Construction
In collections Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 Triangle Congruence Theorems 1
This example demonstrates the construction of a triangle based on the SSS (Side-Side-Side) axiom. Key mathematical concepts include triangle construction and properties. Using GeoGebra commands such as Segment, Angle, Line, and Polygon, the construction process is visually illustrated. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(A, C) → b
  3. Angle(B, A, C) → α
  4. Segment(C, B) → a
  5. Line(D_1, E_1) → d_1
  6. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  7. Mirror(A, d_1) → A'
  8. Mirror(B, d_1) → B'
  9. Mirror(C, d_1) → C'
  10. Polygon(A', B', C') → poly1', c', a', b'
  11. Mirror(A, d_1) → A'_1
  12. Mirror(C, d_1) → F_2
  13. Segment(A'_1, F_2) → e_1
  14. Mirror(A, d_1) → D_2
  15. Mirror(B, d_1) → B'_1
  16. Segment(D_2, B'_1) → f_1
  17. Mirror(C, d_1) → C'_2
  18. Mirror(B, d_1) → E_2
  19. Segment(C'_2, E_2) → d_2
  20. Rotate(A', 72.13°, F_1) → A''
  21. Rotate(B', 72.13°, F_1) → B''
  22. Rotate(C', 72.13°, F_1) → C''
  23. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  24. Rotate(A', 72.13°, F_1) → A''_1
  25. Rotate(B', 72.13°, F_1) → B''_1
  26. Rotate(C', 72.13°, F_1) → C''_1
  27. Polygon(A''_1, B''_1, C''_1) → poly1''_1, c''_1, a''_1, b''_1
  28. Rotate(D_2, 72.13°, F_1) → D'
  29. Rotate(B'_1, 72.13°, F_1) → E
  30. Segment(D', E) → f
  31. Rotate(A'_1, 72.13°, F_1) → D
  32. Rotate(F_2, 72.13°, F_1) → F'
  33. Segment(D, F') → e
  34. Rotate(C'_2, 72.13°, F_1) → F
  35. Rotate(E_2, 72.13°, F_1) → E'
  36. Segment(F, E') → d
  37. Angle(E, D, F) → β