MathPlotAI Logo MathPlotAI

Negative Dilation Center on Line

Negative Dilation Center on Line
Loading the math board and drawing, please wait…
2014-12-06 02:41
Coordinate GeometryTransformationGeometric Construction
In collections Dilations
This example demonstrates negative dilation with the center on a line. It involves core math concepts like geometric transformations, negative dilation, and the position of the center. GeoGebra commands used include Polygon, Intersect, Line, and Distance. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(Dilate[O, d, O], Dilate[B, d, O], Dilate[C, d, O]) → poly1, a, b, c
  2. Intersect(a, b) → B'
  3. Line(O, B) → e
  4. Distance(O, B) → distanceOB
  5. Distance(O, B') → distanceOB'

AI Drawing Prompt Reference

Draw a geometric transformation diagram showing negative dilation with the center on a line. Start by creating a polygon, then perform negative dilation from the center along the line to get three new points, and connect them to form a new polygon. Next, find the intersection point of one side of the original polygon with the dilated line, and draw a line from the center to this intersection point. Finally, measure the distances from the center to the original and intersection points to illustrate the effect of negative dilation.
The prompt above was compiled from the original drawing commands and is for reference only.