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Congruence of Larger Figures

Congruence of Larger Figures
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2019-02-07 19:06
PolygonTransformationGeometric Construction
This example demonstrates the congruence of larger figures. Key mathematical concepts include congruence transformations such as translation, rotation, and reflection. Using GeoGebra commands like Polygon, Vector, Translate, Rotate, and Mirror, congruent figures can be constructed. Suitable for middle school and above students to learn about congruence and transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Vector(F, G) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Translate(E, u) → E'
  8. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'
  9. Rotate(A', (-(45°)), G) → A''
  10. Rotate(B', (-(45°)), G) → B''
  11. Rotate(C', (-(45°)), G) → C''
  12. Rotate(D', (-(45°)), G) → D''
  13. Rotate(E', (-(45°)), G) → E''
  14. Polygon(A'', B'', C'', D'', E'') → poly1'', a'', b'', c'', d'', e''
  15. Point(xAxis) → H
  16. Point(xAxis) → I
  17. Line(H, I) → f
  18. Mirror(A'', f) → T
  19. Mirror(B'', f) → P
  20. Mirror(C'', f) → Q
  21. Mirror(D'', f) → R
  22. Mirror(E'', f) → S
  23. Polygon(T, P, Q, R, S) → poly1''', a''', b''', c''', d''', e'''