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Reflections with Coordinates

Reflections with Coordinates
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2015-01-22 20:57
Coordinate GeometryTransformationGeometric Construction
In collections Transformations with Coordinates
This example demonstrates geometric reflections in a coordinate system. It involves concepts such as coordinate geometry, reflection transformations, and triangle properties. The construction uses commands like Polygon, Intersect, Line, and Mirror to create polygons, find intersection points, draw lines, and perform mirror transformations. Suitable for middle or high school students learning geometric transformations and coordinate applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Intersect(xAxis, yAxis) → E
  3. Line(E, F) → e
  4. Mirror(A, e) → A'
  5. Mirror(B, e) → B'
  6. Mirror(C, e) → C'
  7. Mirror(D, e) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral ABCD in a coordinate system. Find the intersection point E of the x-axis and y-axis. Draw a line e through E. Reflect each vertex of ABCD about line e to get A'B'C'D'. Then draw the new quadrilateral A'B'C'D'.
The prompt above was compiled from the original drawing commands and is for reference only.