Reflection Transformation Demo by avery.js

Reflection Transformation Demo by avery.js
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2015-02-23 22:30
This example demonstrates the reflection transformation of points, polygons, and figures. It involves core math concepts like reflection, geometric transformations, coordinate geometry, and slope difference. Key GeoGebra commands used include Polygon and Mirror, with objects like points A,B,C,D, polygon poly1, and variables a,b,c,d. Suitable for high school mathematics teaching to understand the properties and applications of reflection transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Mirror(A, xAxis) → A'
  3. Mirror(B, xAxis) → B'
  4. Mirror(C, xAxis) → C'
  5. Mirror(D, xAxis) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Mirror(C, yAxis) → C'_3
  8. Mirror(A, yAxis) → A'_1
  9. Mirror(B, yAxis) → B'_1
  10. Mirror(C, yAxis) → C'_1
  11. Mirror(D, yAxis) → D'_1
  12. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_2, d'_1

AI Drawing Prompt Reference

Draw a demonstration of reflection transformation involving a quadrilateral and its reflections over the X and Y axes, showing the original and reflected points and quadrilaterals, start by drawing the original quadrilateral, then reflect it over the X and Y axes sequentially, and finally draw the new quadrilaterals formed by the reflected points, clearly illustrating the process and outcome of reflection transformations.
The prompt above was compiled from the original drawing commands and is for reference only.