Module 1 Day 1 Leaping Lizards Translation Demo

Module 1 Day 1 Leaping Lizards Translation Demo
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2020-08-24 10:22
① This example shows a “leaping lizard” undergoing translation, rotation, and reflection on the plane. ② Key concepts: rigid motions, translation vectors, rotation angles, reflection axes, and congruence of figures. ③ Construction highlights: points A‑T and images pic1, pic2 are created in GeoGebra; the “Translate”, “Rotate”, and “Reflect” commands produce successive lizard positions, while the “Polygon” command links key points to outline the lizard. ④ Suitable for middle‑school geometry transformations, high‑school analytic geometry review, and teacher‑made interactive lessons.

GeoGebra Commands & Parameters

  1. Point A(12, 12)
  2. Point B(15, 12)
  3. Point C(17, 12)
  4. Point D(19, 10)
  5. Point E(14, 16)
  6. Point F(17, 15)
  7. Point G(19, 14)
  8. Point H(20, 13)
  9. Point I(11.677560959538116, 8.671528134087099)
  10. Point J(22.532936882457584, 8.575156963484602)
  11. Point K(24, 20)
  12. Point L(23.742803648112144, 16.634974008062144)
  13. Point M(34.46982443462015, 16.684123599844646)
  14. Point N(27, 20)
  15. Point O(29, 20)
  16. Point P(31, 18)
  17. Point Q(29, 23)
  18. Point R(31, 22)
  19. Point S(32, 21)
  20. Point T(26, 24)