MathPlotAI Logo MathPlotAI

Rectangle ABCD Dilation

Rectangle ABCD Dilation
Loading the math board and drawing, please wait…
2017-11-22 22:25
PolygonTransformationGeometric Construction
This example demonstrates the dilation transformation of rectangle ABCD within a plane. Key math concepts include dilation, similar figures, and geometric construction. It utilizes GeoGebra commands/objects like Polygon, Intersect, and Dilate. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Intersect(xAxis, yAxis) → E
  3. Dilate(A, 3, E) → A'
  4. Dilate(B, 3, E) → B'
  5. Dilate(C, 3, E) → C'
  6. Dilate(D, 3, E) → D'
  7. Polygon(A', B', C', D') → q1', a', b', c', d'

AI Drawing Prompt Reference

Draw a rectangle, find the intersection point of the coordinate axes, scale each vertex of the rectangle by a factor of three centered at this point, and then connect the new vertices to form a new rectangle, demonstrating the effect of dilation on similar figures.
The prompt above was compiled from the original drawing commands and is for reference only.