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Triangle ABC Dilation

Triangle ABC Dilation
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2017-11-23 02:09
TriangleTransformationGeometric Construction
This example demonstrates the effect of dilation on triangle ABC. Core mathematical concepts include dilation transformation, similar triangles, central symmetry, and coordinate geometry. Construction highlights the use of GeoGebra commands like Polygon, Intersect, and Dilate to create the triangle, calculate intersections, and perform dilation. Suitable for high school students learning geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Dilate(A, 1.5, D) → A'
  4. Dilate(B, 1.5, D) → B'
  5. Dilate(C, 1.5, D) → C'
  6. Polygon(A', B', C') → t1', c', a', b'

AI Drawing Prompt Reference

Draw triangle ABC first, then dilate it by 1.5 times with point D as the center to get triangle A'B'C'. Start by drawing triangle ABC, find the intersection of the x-axis and y-axis to get point D, then dilate points A, B, and C one by one, and finally draw triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.