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Tape Diagrams in Geometry

Tape Diagrams in Geometry
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2019-02-08 02:12
PolygonAngleGeometric Construction
This example demonstrates how Tape Diagrams are used to visually represent the division and relationships of geometric shapes. Core math concepts include geometric partitioning, proportional relationships, and angle measurement. Construction highlights involve commands/objects like Point, Polygon, Segment, SelectedElement, Sequence, Intersect, Textfield from GeoGebra for creating and interacting with geometric elements. Suitable for middle school and above students learning geometric partitioning, proportion, and data analysis.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Point(yAxis) → E
  4. Point(yAxis) → F
  5. Polygon(E, F, G, H) → q2, e, f, g, h
  6. Segment(B_1, H_1) → n
  7. Segment(E_1, I_1) → p
  8. Segment(G_1, F_1) → q
  9. Segment(D_1, C_1) → r
  10. SelectedElement(increment) → o
  11. Sequence(((i * Distance[D_1, G_1] / (100 / increment(slide))) + x(D_1), 3), i, 1, 100 / increment(slide)) → top
  12. Sequence(((i * Distance[D_1, G_1] / (100 / increment(slide))) + x(D_1), 0), i, 1, 100 / increment(slide)) → bottom
  13. Sequence(Segment[top(i), bottom(i)], i, 1, 100 / increment(slide)) → l1
  14. Intersect(p, r) → J_1
  15. Intersect(p, q) → K_1
  16. Intersect(f, q) → L_1
  17. Intersect(f, r) → M_1
  18. Polygon(M_1, J_1, (21 / 4 + 2, y(K_1)), (21 / 4 + 2, y(L_1))) → q5, i_1, j_1, k_1, l_1
  19. Polygon(E, F, G, H) → q7, e_1, f_1, g_1, h_1
  20. Polygon(T, S, K_1, J_1) → q1, t, s, i, j
  21. Textfield(ans4) → InputBox1
  22. Textfield(text2) → InputBox3
  23. Textfield(text3) → InputBox2