MathPlotAI Logo MathPlotAI

Dilations on the Coordinate Plane

Dilations on the Coordinate Plane
Loading the math board and drawing, please wait…
2015-03-09 22:14
Coordinate GeometryTransformationGeometric Construction
This example demonstrates how to perform dilations on the coordinate plane. Key math concepts include dilation, similar figures, and scale factor. Construction highlights the use of GeoGebra commands Polygon and Dilate, along with objects like A, B, C, poly1, c, a, b, ScaleFactor, Center, A', B', C', poly1', c', a', b'. Suitable for middle school and above students to understand the properties of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, ScaleFactor, Center) → A'
  3. Dilate(B, ScaleFactor, Center) → B'
  4. Dilate(C, ScaleFactor, Center) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle and its three similar triangles on a coordinate plane to demonstrate the effect of dilation. Start by drawing a triangle, then scale each vertex according to a given scale factor and center point to get new vertices, and finally draw three similar triangles using these new vertices to clearly show the dilation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.