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Congruent Triangles Exercise 4 by powere

Congruent Triangles Exercise 4 by powere
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2018-06-26 04:37
TriangleTransformationGeometric Construction
This example demonstrates how to name congruent triangles and provide reasons. Users can move, rotate, and reflect the triangles. Using commands like Polygon, Vector, Angle, Intersect, Textfield, Segment, Midpoint, Rotate, Vertex, etc., one can construct and verify congruent triangles. Suitable for junior high school geometry learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(P, A) → u
  3. Vector(P, B) → v
  4. Vector(P, C) → w
  5. Polygon(A_1, B_1, C_1) → poly1_1, c_1, a_1, b_1
  6. Vector(P_1, A_1) → u_1
  7. Vector(P_1, B_1) → v_1
  8. Vector(P_1, C_1) → w_1
  9. Angle(B, A, C) → α
  10. Angle(A, C, B) → β
  11. Angle(A_1, C_1, B_1) → γ
  12. Angle(B_1, A_1, C_1) → δ
  13. Intersect(Line[X_0, Rotate[Y_0, Ang_A, X_0]], Line[Y_0, Rotate[X_0, (-(180° - Ang_C - Ang_A)), Y_0]]) → Z_0
  14. Polygon(X_0, Y_0, Z_0) → poly2, z_0, x_0, y_0
  15. Textfield(text13) → Ans1
  16. Textfield(text14) → Ans2
  17. Segment(D, E) → r
  18. Midpoint(Segment[Intersect[Circle[A, r], b], Intersect[Circle[A, r], c]]) → F
  19. Midpoint(Segment[Intersect[Circle[C, r], a], Intersect[Circle[C, r], b]]) → G
  20. Midpoint(Segment[Intersect[Circle[A_1, r], b_1], Intersect[Circle[A_1, r], c_1]]) → H
  21. Midpoint(Segment[Intersect[Circle[C_1, r], a_1], Intersect[Circle[C_1, r], b_1]]) → I
  22. Angle(A_1, B_1, C_1) → ε
  23. Angle(C, B, A) → ζ
  24. Midpoint(Segment[Intersect[Circle[B, r], a], Intersect[Circle[B, r], c]]) → J
  25. Midpoint(Segment[Intersect[Circle[B_1, r], a_1], Intersect[Circle[B_1, r], c_1]]) → K
  26. Rotate(Polygon[Mirror[X_0, x = 0], Mirror[Y_0, x = 0], Mirror[Z_0, x = 0]], 225°, (2, 0)) → poly3
  27. Vertex(poly3, 1) → X_1
  28. Vertex(poly3, 2) → Y_1
  29. Vertex(poly3, 3) → Z_1