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Reflection: Find the Mirror Line

Reflection: Find the Mirror Line
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2014-12-16 01:43
Coordinate GeometryTransformationGeometric Construction
In collections GCSE Higher Ch8 Transformations & Constructions
This example demonstrates how to find the mirror line of a triangle through reflection operations. Core math concepts include reflection transformation, linear equations, and coordinate geometry. Construction highlights the use of GeoGebra commands like Polygon, Line, and Mirror, along with objects A, B, C, etc. Suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a triangle and a line. Reflect each vertex of the triangle across the line to get three new points, and then connect these points to form a new triangle.
The prompt above was compiled from the original drawing commands and is for reference only.