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Enlargement: Find the Centre

Enlargement: Find the Centre
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2014-12-16 02:15
PolygonTransformationGeometric Construction
In collections GCSE Higher Ch8 Transformations & Constructions
This example demonstrates how to find the center of a polygonal shape through geometric enlargement (dilation). Key math concepts include transformation, polygons, and coordinate geometry. The construction uses commands like Polygon and Dilate, involving objects such as points A, B, C, polygon poly1, and sliders a, b. Suitable for high school students learning geometric transformations, illustrating the properties and applications of dilation.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a polygon and then geometrically dilate its three vertices using two sliding scale factors to obtain three new vertices, connecting these new vertices to form a new polygon, demonstrating the effect of geometric dilation and the center position.
The prompt above was compiled from the original drawing commands and is for reference only.