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Congruence Transformations: Reflections by rgelenitis

Congruence Transformations: Reflections by rgelenitis
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2016-06-09 10:30
VectorTransformationGeometric Construction
This example demonstrates reflections, showing how reflections preserve congruence. Key concepts include reflections, vectors, and segments. GeoGebra commands used include Point, Line, Mirror, and Segment. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B_1
  2. Point(yAxis) → C_1
  3. Line(B_1, C_1) → f
  4. Point(xAxis) → E
  5. Line(D, E) → g
  6. Mirror(f, yAxis) → f'
  7. Mirror(f', f) → f''
  8. Mirror(A, f'') → A'
  9. Mirror(A, g) → A''
  10. Segment(B, C) → h
  11. Segment(B, A) → i
  12. Segment(A, C) → j
  13. Mirror(C, g) → C''
  14. Mirror(B, g) → B''
  15. Segment(B'', A'') → k
  16. Segment(A'', C'') → l
  17. Segment(C'', B'') → m
  18. Mirror(B, f'') → B'
  19. Mirror(C, f'') → C'
  20. Segment(C', A') → n
  21. Segment(A', B') → p
  22. Segment(B', C') → q