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Coordinate Transformation: Dilation

Coordinate Transformation: Dilation
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2015-01-21 23:42
TriangleCoordinate GeometryTransformation
In collections Coordinate Transformations
This example demonstrates how to use coordinate transformation, specifically dilation, to change the size of a triangle. Key mathematical concepts include coordinate geometry. Using commands like Polygon, Intersect, and Dilate, the construction of a triangle and its dilated image is illustrated. Suitable for students at the middle school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → O
  3. Dilate(A, ScaleFactor, O) → A'
  4. Dilate(B, ScaleFactor, O) → B'
  5. Dilate(C, ScaleFactor, O) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then dilate it with the origin as the center to create a new triangle A'B'C'. First, draw triangle ABC, then find the intersection of the x-axis and y-axis to get the origin O. Next, dilate each vertex of triangle ABC with O as the center to get A', B', and C'. Finally, draw the new triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.