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Congruent Triangles Exercise

Congruent Triangles Exercise
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2018-06-26 04:37
TriangleTransformationGeometric Construction
This example demonstrates how to name congruent triangles with reasons. The triangles can be moved, rotated, and reflected. Key math concepts include congruence, geometric transformations, and angle measurement. Construction involves GeoGebra commands like Polygon, Vector, Angle, Intersect, Textfield, Segment, Midpoint, Rotate, Vertex. Suitable for middle school geometry teaching and practice.

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(Circle[Y_0, Side_a], x = x(X_0)) → Z_0, L
  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]], 2.1790419057051063, (5.011056281987284, 4.704101305477666)) → poly3
  27. Vertex(poly3, 1) → X_1
  28. Vertex(poly3, 2) → Y_1
  29. Vertex(poly3, 3) → Z_1