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Dilation Grid 1: Similar Triangles and Transformation

Dilation Grid 1: Similar Triangles and Transformation
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2017-01-12 12:14
TrianglePolygonCoordinate GeometryTransformation
In collections Dilations
This example demonstrates geometric dilation on a grid, focusing on similar triangles and transformation ratios. It utilizes GeoGebra commands like Polygon and Dilate to construct original and scaled triangles (A, B, C to A', B', C'). Interactive elements include buttons for correctness checking. Ideal for students learning coordinate geometry, similarity, and scaling transformations in high school mathematics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, scaleFactor, D) → A'
  3. Dilate(B, scaleFactor, D) → B'
  4. Dilate(C, scaleFactor, D) → C'
  5. Polygon(A', B', C') → targetPoly, c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC on a grid, then enlarge it by a scale factor of 2 with point D as the center to get triangle A'B'C'. First, draw triangle ABC, then use the enlargement tool to scale each vertex by a factor of 2, and finally draw the enlarged triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.