MathPlotAI Logo MathPlotAI

Reflection over the line y=x by Nicola Trubridge

Reflection over the line y=x by Nicola Trubridge
Loading the math board and drawing, please wait…
2014-12-16 00:44
Coordinate GeometryTransformationGeometric Construction
In collections GCSE Higher Ch8 Transformations & Constructions
This example demonstrates the reflection of points and polygons over the line y=x. It involves core mathematical concepts such as reflection, unit circle, similar triangles, coordinate geometry, and squares. The construction uses GeoGebra commands like Point, Polygon, Intersect, Line, and Mirror. It is suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a coordinate system, then create points C and D on the x-axis, and a triangle CDE. Draw a line a through the origin and parallel to the y-axis. Reflect each vertex of triangle CDE across line a to get a new triangle C'D'E'.
The prompt above was compiled from the original drawing commands and is for reference only.