Center of Dilation and Scale Factor
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This example demonstrates how to draw dilated triangles and calculate the scale factor using GeoGebra. Key math concepts include center of dilation, scale factor, similar triangles, and multiplication. Construction highlights involve commands like Polygon and Dilate, manipulating objects A, B, C, D, t1, c, a, b, A', B', C', t1', c', a', b'. Suitable for middle school and above, focusing on understanding properties and applications of dilation transformations.
GeoGebra Commands & Parameters
Polygon(A, B, C) → t1, c, a, bDilate(A, 3, D) → A'Dilate(B, 3, D) → B'Dilate(C, 3, D) → C'Polygon(A', B', C') → t1', c', a', b'
AI Drawing Prompt Reference
Draw triangle ABC and then dilate it by a factor of 3 from center D to get triangle A'B'C'. Finally, draw both triangles to show the relationship of central symmetry and scaling.
The prompt above was compiled from the original drawing commands and is for reference only.