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Polygon Reflection on Coordinate Grid

Polygon Reflection on Coordinate Grid
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2016-09-23 00:35
PolygonCoordinate Geometry
This example demonstrates the process and result of reflecting a polygon on a coordinate grid, involving core math concepts like reflection transformation, coordinate geometry, and polygon properties. It utilizes commands and objects such as Polygon, Intersect, Point, Line, and Mirror in GeoGebra. Suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Point(xAxis) → E
  4. Line(D, E) → f
  5. Mirror(A, f) → A'
  6. Mirror(B, f) → B'
  7. Mirror(C, f) → C'
  8. Polygon(A', B', C') → poly1', c', a', b'
  9. Point(yAxis) → F
  10. Line(D, F) → g
  11. Mirror(A, g) → A'_1
  12. Mirror(B, g) → B'_1
  13. Mirror(C, g) → C'_1
  14. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1

AI Drawing Prompt Reference

On a coordinate grid, draw a polygon and mark the intersection point of the coordinate axes. Connect this point to another point on one axis to form a line. Reflect the polygon over this line to create a first reflected polygon. Then, draw a line connecting the intersection point to the other axis, and reflect the polygon over this new line to create a second reflected polygon. Display the original polygon and both reflected polygons, along with all related points and lines.
The prompt above was compiled from the original drawing commands and is for reference only.