Central Symmetry Construction

Central Symmetry Construction
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2018-04-16 02:18
This example demonstrates the geometric phenomenon of central symmetry. Key mathematical concepts include central symmetry and geometric transformations. Using GeoGebra commands such as Polygon, Mirror, and Segment, a central symmetric figure can be constructed. Suitable for students at the junior high school level and above to learn about the properties and transformations of central symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Mirror(C, O) → C'
  3. Mirror(A, O) → A'
  4. Mirror(B, O) → B'
  5. Mirror(C, O) → C'_1
  6. Mirror(D, O) → D'
  7. Polygon(A', B', C'_1, D') → poly1', a', b', c'_1, d'
  8. Segment(B, B') → e
  9. Segment(A, A') → f
  10. Segment(C, C') → g
  11. Segment(D, D') → h