Dilation Exploration by Joy

Dilation Exploration by Joy
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2016-11-17 01:07
This example demonstrates the scaling process of a polygon through central similarity transformation in a two-dimensional space. The core mathematical concepts involved include similarity transformation, ratios, statistical characteristics, and vectors. The construction uses GeoGebra commands Polygon and Dilate to create and transform polygons, utilizing objects such as A, B, D, poly1, d, a, b, C, A', B', D', poly1', d', a', b'. Suitable for high school students and teachers studying geometric transformations and ratio relationships.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D) → poly1, d, a, b
  2. Dilate(A, 0.5, C) → A'
  3. Dilate(B, 0.5, C) → B'
  4. Dilate(D, 0.5, C) → D'
  5. Polygon(A', B', D') → poly1', d', a', b'