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Central Symmetry Construction by Panpan1663

Central Symmetry Construction by Panpan1663
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2014-11-02 00:13
PolygonTransformationGeometric Construction
This example demonstrates central symmetry of points, lines, segments, triangles, and polygons. Central symmetry is an important concept in geometry. Using GeoGebra commands such as Mirror, Segment, Polygon, and Line, symmetric figures can be constructed. Suitable for middle school and above students to learn the properties and applications of central symmetry.

GeoGebra Commands & Parameters

  1. Mirror(C, O) → C'
  2. Mirror(A, O) → A'
  3. Mirror(B, O) → B'
  4. Segment(A, B) → a
  5. Segment(B', A') → b
  6. Polygon(A, B, C) → poly1, c, a_1, b_1
  7. Polygon(A', B', C') → poly2, c', a', b'
  8. Mirror(D, O) → D'
  9. Mirror(E, O) → E'
  10. Polygon(A, B, C, D, E) → poly3, a_2, b_2, c_1, d, e
  11. Polygon(A', B', C', D', E') → poly4, a'_1, b'_1, c'_1, d', e'
  12. Line(A, B) → f
  13. Line(B', A') → g

AI Drawing Prompt Reference

Draw a central symmetry figure. Draw a triangle and a line segment, then reflect them about a center point. Show the reflected triangle and line segment and their relative positions.
The prompt above was compiled from the original drawing commands and is for reference only.