MathPlotAI Logo MathPlotAI

Translation and Scatter Plot Analysis

Translation and Scatter Plot Analysis
Loading the math board and drawing, please wait…
2018-02-03 21:50
Coordinate GeometryProbability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates translation transformations of points and segments, and their representation in scatter plots; involves core math concepts like translation, integer operations, scatter plot construction, hypothesis testing, difference and slope calculation; constructed using GeoGebra commands such as PointIn, Segment, Sequence, Mirror; suitable for high school mathematics teaching, illustrating the integration of geometric transformations and data analysis.

GeoGebra Commands & Parameters

  1. PointIn(Polygon[{B, C, D, E}]) → A
  2. Segment(A, B) → f
  3. Segment(A, C) → g
  4. Sequence(Segment[Point[f, i], Point[g, 1 - i]], i, 0, 1, 1 / n) → S_1
  5. Segment(A, D) → h
  6. Sequence(Segment[Point[g, i], Point[h, 1 - i]], i, 0, 1, 1 / n) → S_2
  7. Segment(A, E) → l
  8. Sequence(Segment[Point[l, i], Point[f, 1 - i]], i, 0, 1, 1 / n) → S_4
  9. Sequence(Segment[Point[h, i], Point[l, 1 - i]], i, 0, 1, 1 / n) → S_3
  10. Mirror(L_1, Line[E, B]) → L_2
  11. Mirror({L_1, L_2}, Line[B, C]) → L_3
  12. Sequence(Translate[L_4, Vector[((2 * i) * Vector[D, E])]], i, (-nt), nt) → L_5
  13. Sequence(Translate[L_5, Vector[((2 * i) * Vector[E, B])]], i, (-nt), nt) → L_6