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Connecting Congruent Polygons

Connecting Congruent Polygons
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2017-11-29 05:03
PolygonTransformationGeometric Construction
This example demonstrates how to construct congruent polygons through rotation and translation. Key mathematical concepts include congruence, geometric transformations, and rotation. Using GeoGebra commands such as Intersect, Polygon, Rotate, Vector, and Translate, a series of congruent polygons can be constructed. Suitable for middle school and above students for geometric construction and transformation learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Rotate(A, 85°, F) → A'
  4. Rotate(B, 85°, F) → B'
  5. Rotate(C, 85°, F) → C'
  6. Rotate(D, 85°, F) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Vector(D', E) → u
  9. Translate(E, u) → E'
  10. Vector(D', E) → v
  11. Translate(A', v) → R
  12. Translate(B', v) → S
  13. Translate(C', v) → P
  14. Translate(D', v) → Q
  15. Polygon(R, S, P, Q) → poly1'', a'', b'', c'', d''