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Proving Triangles Congruent Exercise (2)

Proving Triangles Congruent Exercise (2)
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2017-04-25 04:10
TriangleTransformationGeometric Construction
This example demonstrates proving triangles congruent using transformational geometry. It involves reflection, rotation, and translation. Commands used include Polygon, Rotate, Vector, Translate, Segment, and Mirror. Suitable for middle school and above students learning geometric transformations and proofs.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, α, D) → A'
  3. Rotate(B, α, D) → B'
  4. Rotate(C, α, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Vector(E, F) → u
  7. Translate(A', u) → A''
  8. Translate(B', u) → B''
  9. Translate(C', u) → C''
  10. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  11. Segment(A'', C'') → f
  12. Mirror(A'', b'') → A'''
  13. Mirror(B'', b'') → B'''
  14. Mirror(C'', b'') → C'''
  15. Polygon(A''', B''', C''') → poly1''', c''', a''', b'''