MathPlotAI Logo MathPlotAI

Dilation Investigation

Dilation Investigation
Loading the math board and drawing, please wait…
2017-11-08 02:34
Solid GeometryTransformationGeometric Construction
This example demonstrates the transformation rules of a shape under similarity transformation (scaling). Key math concepts include similarity transformation, scale factor, and geometric construction. It uses commands like Polygon, Intersect, Dilate, Segment in GeoGebra. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(Start, start, 4) → poly1, f, g, h, i, C, Final_1
  2. Intersect(xAxis, yAxis) → O
  3. Dilate(poly1, k, O) → poly1'
  4. Dilate(Final_1, k, O) → Final
  5. Dilate(Start, k, O) → Start'
  6. Dilate(C, k, O) → C'
  7. Dilate(Final_1, k, O) → A
  8. Segment(C', A) → h'

AI Drawing Prompt Reference

Draw a square and then perform a similarity transformation centered at the origin to change its size. First, draw a square, then find the intersection of the x-axis and y-axis as the center point. Next, scale the square to observe the changes. Finally, scale the initial points of the square and the center point again to see further changes.
The prompt above was compiled from the original drawing commands and is for reference only.