Dilation on Coordinate Grid
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Dilations with different shape
This example demonstrates the process of performing a dilation transformation on a shape within a coordinate grid. The key math concepts involved include 2D vectors, arithmetic operations, and geometric transformations. GeoGebra commands and objects used in the construction are scaleFactor (scaling factor), Archimedean (Archimedean spiral), Pyramid, and Prism. Suitable for high school students learning about geometric transformations and coordinate geometry.
GeoGebra Commands & Parameters
Boolean correct(true)Boolean isEqual(true)Numeric scaleFactor(2.0)Polyhedron ArchimedeanPolyhedron PyramidPolyhedron PrismPoint P(-2.0, -2.0)
AI Drawing Prompt Reference
Draw a geometric shape on a coordinate grid, starting with a cube, then a pyramid and a prism. Place a point P at (-2,-2). Finally, use a scaling factor of 2.0 to dilate the cube around point P and observe the transformation.
The prompt above was compiled from the original drawing commands and is for reference only.