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Reflection in the y axis

Reflection in the y axis
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2014-12-16 00:42
PolygonCoordinate GeometryTransformationGeometric Construction
In collections GCSE Higher Ch8 Transformations & Constructions
This example demonstrates the reflection transformation of points and polygons across the y-axis. It involves core mathematical concepts such as symmetry, coordinate geometry, and geometric transformations. The construction uses GeoGebra commands like Point, Polygon, Line, and Mirror, with objects including A, B, C, D, E, poly1, e, c, d, F, G, a, C', D', E', poly1', e', c', d'. Suitable for middle school and above students learning geometric transformations and coordinate geometry, or for demonstrating symmetric distributions in probability statistics.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw the y-axis and create two points on it. Form a polygon using these three points. Then, create two more points on the y-axis and connect them to form a line. Reflect each vertex of the polygon across this line to get new vertices. Finally, draw a new polygon using these reflected vertices to show the reflection of the original polygon across the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.