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Translated Points Demo

Translated Points Demo
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2019-11-12 14:02
VectorCoordinate GeometryGeometric Construction
This example demonstrates the translation of points in a plane and its effects. Core math concepts include translation transformation, vector, coordinate geometry, and geometric construction. Construction highlights involve points A, B, C, ..., Z, A_1, B_1, and text objects text1, text2. Suitable for high school mathematics teaching to understand the properties and applications of translation transformations.

GeoGebra Commands & Parameters

  1. Point A(1.267126109453997, 5.557972375552508)
  2. Point B(-0.5477409452730018, 4.961658914713637)
  3. Point C(-1.481101144846887, 4.624612175978623)
  4. Point D(-0.5477409452730018, 3.717178648615123)
  5. Point E(0.6967393208255116, 3.691251976404737)
  6. Point F(-2.414461344420772, 3.0690118433554803)
  7. Point G(-1.1699810783222584, 3.0430851711450946)
  8. Point H(-3.6589416105192853, 0.5800513111584523)
  9. Point I(-2.1292679501065295, 2.7578917768308515)
  10. Point J(0.10042585998664062, 1.7986049050465804)
  11. Point K(-1.818147883581901, 1.1763647719973236)
  12. Point L(-2.7255814109454004, 0.8911713776830807)
  13. Point M(-0.5477409452730018, 0.009664522529966761)
  14. Point N(0.6708126486151259, -0.042188821890804654)
  15. Point O(-2.3885346722103864, -0.6644289549400616)
  16. Point P(-1.1699810783222584, -0.716282299360833)
  17. Point Q(-3.347821543994657, -1.0274023658854614)
  18. Point R(-2.414461344420772, -3.2311695037682466)
  19. Point S(0.04857251556586923, -0.6903556271504473)
  20. Point T(-1.818147883581901, -2.583002698508604)
  21. Point U(-3.0626281496804144, -5.071963230705632)
  22. Point V(-8.040549214074469, -0.6644289549400616)
  23. Point W(-7.392382408814826, 1.150438099786938)
  24. Point Z(-6.796068947975955, -4.397869753235604)
  25. Point A_1(-7.392382408814826, -2.583002698508604)
  26. Point B_1(-6.147902142716312, -2.6089293707189896)

AI Drawing Prompt Reference

Draw a grid of points on a plane, including points A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, and B_1. Start by creating point A, then sequentially create points B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, and Z. Next, create points A_1 and B_1, which are translations of points A and B along a certain vector.
The prompt above was compiled from the original drawing commands and is for reference only.