Dilation Transformation by Jodie Roberts

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2016-03-04 05:48

This example demonstrates dilation transformation. Key mathematical concepts include coordinate transformation and similar transformation. Using GeoGebra commands like Polygon and Dilate, the transformed image can be constructed. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

Polygon(M, H, T, A) → poly1, a, b, c, d
Dilate(M, n, C) → M'
Dilate(H, n, C) → H'
Dilate(T, n, C) → T'
Dilate(A, n, C) → A'
Polygon(M', H', T', A') → poly1', m', h', t', a'
Line(M, M') → e
Line(A, A') → f
Line(T, T') → g
Line(H, H') → h

AI Drawing Prompt Reference

Draw a quadrilateral with four vertices labeled top-left, top-right, bottom-right, and bottom-left. Choose a point outside the quadrilateral as the center of scaling. From this center, extend each vertex outward by a fixed scale factor greater than 1, creating four new corresponding vertices. Connect each original vertex to its new counterpart with straight lines, forming four radiating segments from the center. Then connect the four new vertices in order to form a larger, similar quadrilateral. The original and enlarged quadrilaterals have parallel corresponding sides, and all connecting lines meet at the scaling center, clearly illustrating the dilation transformation.

The prompt above was compiled from the original drawing commands and is for reference only.