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Creating Expressions (2): Conditional Geometric Text

Creating Expressions (2): Conditional Geometric Text
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2021-03-09 23:08
PolygonFunctionTransformationGeometric Construction
This GeoGebra example demonstrates how to build and apply mathematical expressions inside a dynamic geometry scene, including conditional behavior and fraction-style text labeling. It focuses on algebraic expression creation, the use of FractionText to present values in fraction form, and the If command to choose outputs based on conditions (so displayed results update automatically as inputs change). The construction uses Polygon to create polygonal geometric elements, FractionText to render expression components as readable fractions, If for conditional logic tied to the geometry/state, and Textfield to provide interactive inputs and dynamic text outputs. The listed objects (points, multiple polygon objects such as poly0/poly3/poly7, and several text/image-like placeholders like pic1–pic10, plus variables such as f/g/h/i and many auxiliary labeled objects) work together to show expression-driven visualization. Suitable for middle and high school mathematics lessons, especially for teaching GeoGebra expression syntax, dynamic text/labeling, and condition-based constructions.

GeoGebra Commands & Parameters

  1. Polygon(A0, B, 4) → poly0, f, g, h, i, A, C
  2. Polygon(A3, H, 4) → poly3, j, k, l, m, E, G
  3. Polygon(A7, P, 4) → poly7, n, p, q, r, I, K
  4. Polygon(A1, D, 4) → poly1, s, t, a, b, M, O
  5. Polygon(A6, N, 4) → poly6, c, d, e, f_1, Q, S
  6. Polygon(A2, H2, 4) → poly2, k_1, l_1, m_1, n_1, W, Z
  7. Polygon(A8, A8 + (2, 0), 4) → poly8, g_1, h_1, i_1, j_1, U, V
  8. Polygon(A9, T, 4) → poly9, p_1, q_1, r_1, s_1, A_1, B_1
  9. Polygon(A4, J, 4) → poly4, t_1, a_1, b_1, c_1, C_1, D_1
  10. Polygon(A5, L, 4) → poly5, d_1, e_1, f_2, g_2, E_1, F_1
  11. Polygon(K_1, L_1, 4) → poly10, l_2, m_2, n_2, p_2, M_1, N_1
  12. Polygon(O_1, P_1, 4) → poly12, q_2, r_2, s_2, t_2, Q_1, R_1
  13. Polygon(S_1, T_1, 4) → poly13, a_2, b_2, c_2, d_2, U_1, V_1
  14. Polygon(C_2, D_2, 4) → poly15, i_3, j_3, k_3, l_3, E_2, F_2
  15. Polygon(G_2, H_2, 4) → poly16, m_3, n_3, p_3, q_3, I_2, J_2
  16. Polygon(G_{3}, H_{3}, 4) → poly17, m_{4}, n_{4}, p_{4}, q_{4}, I_{3}, J_{3}
  17. Polygon(C_{3}, D_{3}, 4) → poly14, i_{4}, j_{4}, k_{4}, l_{4}, E_{3}, F_{3}
  18. FractionText(u) → text4
  19. If(aleft > aright, "Left side is bigger.", aleft < aright, "Right side is bigger", "Both sides are equal!") → text9
  20. Textfield(w) → InputBox1
  21. If(o_1 < 0, "less than", o_1 > 0, "greater than", o_1 ≟ 0, "equal to") → text12

AI Drawing Prompt Reference

Create a dynamic geometry scene with multiple squares placed at various positions, each defined by two vertices and a side length. Include several text fields for numeric input and conditional outputs, such as comparing left and right sides or determining if a value is less than, greater than, or equal to zero. Display some values as fractions. All text and judgments update automatically as inputs change, emphasizing the integration of algebraic expressions with geometric shapes for educational demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.