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Reflection Across the Line y=-x

Reflection Across the Line y=-x
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2017-05-02 05:08
TriangleCoordinate GeometryTransformation
This example demonstrates reflection across the line y=-x. Key mathematical concepts include reflection transformation. It uses commands like Polygon, Point, Mirror in GeoGebra. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(yAxis) → D
  3. Point(yAxis) → E
  4. Mirror(A, d) → A'
  5. Mirror(B, d) → B'
  6. Mirror(C, d) → C'
  7. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC first, then reflect each vertex of the triangle across the line y=-x to get a new triangle A'B'C'. Start by taking two points D and E on the y-axis, then draw triangle ABC, reflect A, B, and C to get A', B', and C', and finally draw the new triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.