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Line Reflection Playground

Line Reflection Playground
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2018-06-28 21:37
Coordinate GeometryTransformationGeometric Construction
In collections Geometry Transformation Maths for 8th Grade Units 1 to 3 Learn with Lindy: Transformations Intro
This example demonstrates the reflection transformation of points, line segments, and polygons across a line. Core math concepts include reflection, coordinate geometry, and angle calculations. It is constructed using GeoGebra commands like Polygon, Line, Mirror, Segment, Intersect, and Angle, making it suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → Original, a, b, c, d, e
  2. Line(F, G) → ReflectionLine
  3. Mirror(A, ReflectionLine) → A'
  4. Mirror(B, ReflectionLine) → B'
  5. Mirror(C, ReflectionLine) → C'
  6. Mirror(D, ReflectionLine) → D'
  7. Mirror(E, ReflectionLine) → E'
  8. Polygon(A', B', C', D', E') → Image, a', b', c', d', e'
  9. Segment(D, D') → f
  10. Intersect(f, ReflectionLine) → H
  11. Angle(ReflectionLine, f) → α
  12. Segment(D, H) → g
  13. Segment(H, D') → h