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Activity 2.1.6b Q5 Mapping Congruent Polygons

Activity 2.1.6b Q5 Mapping Congruent Polygons
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2015-11-13 03:38
PolygonTransformationGeometric Construction
In collections Congruent Polygons
This example demonstrates how to map congruent polygons using transformation operations. Key math concepts include congruence, geometric transformations (translation, reflection), vectors, and polygon construction. GeoGebra commands and objects used are Polygon, Line, Mirror, Vector, and Translate. Suitable for middle school and above mathematics education, helping students understand and practice geometric transformations and congruence criteria.

GeoGebra Commands & Parameters

  1. Polygon(E, A, B, C, D) → poly1, e, a, b, c, d
  2. Line(E, A) → f
  3. Line(E, A) → g
  4. Mirror(E, f) → E'
  5. Mirror(A, f) → A'
  6. Mirror(B, f) → B'
  7. Mirror(C, f) → C'
  8. Mirror(D, f) → D'
  9. Polygon(E', A', B', C', D') → poly1', e', a', b', c', d'
  10. Vector(A, E) → u
  11. Translate(E', u) → Q
  12. Translate(A', u) → M
  13. Translate(B', u) → N
  14. Translate(C', u) → O
  15. Translate(D', u) → P
  16. Polygon(Q, M, N, O, P) → poly1'', e'', a'', b'', c'', d''