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Determine if a Quadrilateral is a Square

Determine if a Quadrilateral is a Square
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2015-02-21 00:51
PolygonCoordinate GeometryTransformationGeometric Construction
In collections PARCC Math III Unit 5 Lesson 7
This example demonstrates how to use GeoGebra to determine if a quadrilateral is a square, involving core concepts like quadrilateral properties, rotational symmetry, equal distances, and equal angles. Construction highlights include using Segment, Textfield, points (A, B, C, D), points (a, b, c, d), input boxes, and various text objects. Suitable for high school geometry instruction.

GeoGebra Commands & Parameters

  1. Segment(B, C) → a
  2. Segment(C, D) → b
  3. Segment(D, A) → c
  4. Segment(A, B) → d
  5. Textfield(A) → inputBox1
  6. Textfield(B) → inputBox2
  7. Textfield(C) → inputBox3
  8. Textfield(D) → inputBox4
  9. Segment(B_1, C_1) → a_1
  10. Segment(A_1, B_1) → d_1
  11. Textfield(A_1) → inputBox1_1
  12. Textfield(B_1) → inputBox2_1
  13. Textfield(C_1) → inputBox3_1
  14. Segment(B_2, C_2) → a_2
  15. Segment(A_2, B_2) → d_2
  16. Textfield(A_2) → inputBox1_2
  17. Textfield(B_2) → inputBox2_2
  18. Textfield(C_2) → inputBox3_2
  19. Segment(B_3, C_3) → a_3
  20. Segment(A_3, B_3) → d_3
  21. Textfield(A_3) → inputBox1_3
  22. Textfield(B_3) → inputBox2_3
  23. Textfield(C_3) → inputBox3_3
  24. Segment(A_4, B_4) → d_4
  25. Textfield(A_4) → inputBox1_4
  26. Textfield(B_4) → inputBox2_4
  27. Segment(A_5, B_5) → d_5
  28. Textfield(A_5) → inputBox1_5
  29. Textfield(B_5) → inputBox2_5
  30. Segment(A_6, B_6) → d_6
  31. Textfield(A_6) → inputBox1_6
  32. Textfield(B_6) → inputBox2_6
  33. Segment(A_7, B_7) → d_7
  34. Textfield(A_7) → inputBox1_7
  35. Textfield(B_7) → inputBox2_7
  36. Segment(B_8, C_4) → a_4
  37. Textfield(B_8) → inputBox2_8
  38. Textfield(C_4) → inputBox3_4
  39. Segment(C_5, D_1) → b_1
  40. Textfield(C_5) → inputBox3_5
  41. Textfield(D_1) → inputBox4_1