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Axial Symmetry - Reflection in a Line

Axial Symmetry - Reflection in a Line
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2016-02-12 04:38
Coordinate GeometryGeometric Construction
This example demonstrates how to use GeoGebra to draw the reflection of a figure across a line. Key mathematical concepts include reflection and symmetry. Using commands like Polygon, Segment, OrthogonalLine, Mirror, and Midpoint, students can understand the geometric principles of reflection. Suitable for middle school and above students for geometric construction practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(E, D) → d
  3. OrthogonalLine(B, d) → e
  4. OrthogonalLine(A, d) → f
  5. OrthogonalLine(C, d) → g
  6. Mirror(A, d) → A'
  7. Mirror(B, d) → B'
  8. Mirror(C, d) → C'
  9. Polygon(A', B', C') → poly1', c', a', b'
  10. Segment(C, C') → h
  11. Segment(B, B') → i
  12. Segment(A, A') → j
  13. Midpoint(A, A') → D_1
  14. Midpoint(B, B') → G
  15. Midpoint(C, C') → H