Inv 4.1C - Focus on Dilations by cary.hoste
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This example demonstrates the effects of dilation on polygons by dynamically adjusting the center and scale factor to observe shape transformations. Core concepts include dilation, intersection, straight lines, linear programming, Pythagorean theorem, and arithmetic. Construction highlights the use of Polygon and Intersect commands with objects like points A, P, S, R, polygon poly1, segments a, b, c, d, and origin O. Suitable for high school students studying geometric transformations, coordinate geometry, and optimization problems.
GeoGebra Commands & Parameters
Polygon(A, P, S, R) → poly1, a, b, c, dIntersect(xAxis, yAxis) → O
AI Drawing Prompt Reference
Create a dynamic illustration showing the effects of dilation on a polygon, featuring a central point and an adjustable scale factor to demonstrate how the polygon changes size around the center. Include horizontal and vertical lines intersecting at the origin to form coordinate axes. The polygon should be formed by connecting four points and highlight intersections with the axes.
The prompt above was compiled from the original drawing commands and is for reference only.