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Dilation with Scale Factor 1/2

Dilation with Scale Factor 1/2
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2016-04-15 22:05
FunctionTransformationGeometric Construction
This example demonstrates a dilation with a scale factor of 1/2. Key mathematical concepts include similarity transformation and geometric mean. Using commands such as Point, Intersect, Polygon, and Dilate, a rectangle and its similar figure with a scale factor of 1/2 can be constructed. Suitable for students at the junior high school level and above to learn about similarity transformations and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(xAxis) → G
  2. Point(yAxis) → H
  3. Intersect(xAxis, yAxis) → I
  4. Intersect(xAxis, yAxis) → D_1
  5. Point(yAxis) → K
  6. Polygon(B, A, D, C) → poly1, b, a, d, c
  7. Point(xAxis) → L
  8. Dilate(B, 0.5, L) → B'
  9. Dilate(A, 0.5, L) → A'
  10. Dilate(D, 0.5, L) → D'
  11. Dilate(C, 0.5, L) → C'
  12. Polygon(B', A', D', C') → poly1', b', a', d', c'