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Dilations on the Coordinate Plane by Megan Milano

Dilations on the Coordinate Plane by Megan Milano
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2015-01-06 22:43
PolygonCoordinate GeometryTransformation
This example demonstrates how to perform dilations on the coordinate plane. It involves core mathematical concepts such as dilation, polygons, center point, and scale factor. The construction highlights the use of GeoGebra commands like Polygon and Dilate, along with related objects such as points 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 with vertices A, B, C, and then dilate it to form new vertices A', B', C'. The dilation center is the original triangle's center, and the scale factor is ScaleFactor. Show both the original and dilated triangles side by side to illustrate the scaling relationship.
The prompt above was compiled from the original drawing commands and is for reference only.