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Dilation of a Triangle by a Point

Dilation of a Triangle by a Point
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2014-09-30 02:56
TriangleTransformationGeometric Construction
In collections Similar triangles by Dilation
This example demonstrates how to dilate a triangle by a point. The key mathematical concept involved is geometric transformations, specifically dilation. Using the Polygon and Dilate commands, the construction of the original and dilated triangle is shown. Suitable for students at the middle school level and above who are learning about geometric transformations.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

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