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Pythagorean Theorem Proof by Mathimation

Pythagorean Theorem Proof by Mathimation
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2017-08-07 01:33
TriangleFunctionCalculusGeometric ConstructionSlider Animation
This example dynamically demonstrates the Pythagorean Theorem, illustrating the relationship between the sides of a right triangle. It involves core math concepts like the Pythagorean Theorem, congruence, real numbers, subtraction, and scalene triangles. Construction highlights include using GeoGebra commands Polygon, Point, and Segment to create shapes involving points A, B, C, D, E, F, and polygons poly1, poly2, etc. Suitable for middle school and above, it helps students grasp the visual proof and geometric construction of the theorem.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Polygon(E, F, 4) → poly2, e, f, g, h, G, H
  3. Point(Circle[B, 4]) → M
  4. Segment(B, M) → m
  5. Point(Circle[A, 4]) → N
  6. Segment(A, N) → n
  7. Point(Circle[D, 4]) → O
  8. Segment(D, O) → p
  9. Point(Circle[C, 4]) → P
  10. Segment(C, P) → q
  11. Segment(N, O) → r
  12. Segment(O, P) → s
  13. Segment(P, M) → t
  14. Segment(M, N) → a_1
  15. Polygon(T, U, V, W) → poly5, t_1, u, v, w
  16. Polygon(C_1, D_1, 4) → poly7, c_1, d_1, e_1, f_1, E_1, F_1
  17. Point(Circle[Q, 4]) → R
  18. Polygon(Q, R, S) → poly4, s_1, q_2, r_1
  19. Point(Circle[Z, 4]) → A_1
  20. Polygon(Z, A_1, B_1) → poly6, b_1, z, a_2
  21. Point(Circle[Q_1, 4]) → R_1
  22. Polygon(Q_1, R_1, S_1) → poly4_1, s_2, q_3, r_2
  23. Point(Circle[Q_2, 4]) → R_2
  24. Polygon(Q_2, R_2, S_2) → poly4_2, s_3, q_4, r_3
  25. Polygon(L, G_1, 4) → poly3, i, j, k, l, H_1, I_1