MathPlotAI Logo MathPlotAI

Similarity Transformation Demo by Stewart McWilliam

Similarity Transformation Demo by Stewart McWilliam
Loading the math board and drawing, please wait…
2014-02-28 18:42
Coordinate GeometryTransformationGeometric Construction
In collections Transformations (of shapes)
This example demonstrates the process and properties of similarity transformation (enlargement/reduction). It involves core math concepts: scale factor, center of similarity, coordinate transformation. Constructed using commands like Dilate, Polygon, Line. Suitable for high school students learning geometric transformations, vectors, and coordinate geometry.

GeoGebra Commands & Parameters

  1. Dilate(B, ScaleFactor, O) → B'
  2. Dilate(A, ScaleFactor, O) → A'
  3. Dilate(D, ScaleFactor, O) → D'
  4. Dilate(E, ScaleFactor, O) → E'
  5. Dilate(C, ScaleFactor, O) → C'
  6. Polygon(B', A', E', D', C') → poly1', n, p, q, r, s
  7. Polygon(B, A, E, D, C) → poly1, b, c, d, e, m
  8. Line(O, B) → i
  9. Line(O, A) → f
  10. Line(O, D) → g
  11. Line(O, E) → h
  12. Line(O, C) → t

AI Drawing Prompt Reference

Draw a geometric diagram demonstrating similarity transformation, including a center point, multiple vertices, and their corresponding scaled vertices, connect the center point to each vertex with line segments, separately draw the original polygon and the scaled polygon to show the effect of similarity transformation, start by drawing the original shape and the center of scaling, then draw the scaled vertices, and finally form a new polygon with these vertices, connecting the center point to the vertices with line segments.
The prompt above was compiled from the original drawing commands and is for reference only.