Playing Card and Central Symmetry

Playing Card and Central Symmetry
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2016-02-15 18:22
This example demonstrates how to use GeoGebra to determine if the 'eight of clubs' playing card has a center of symmetry. It involves core mathematical concepts such as central symmetry, symmetry testing, and geometric transformations. The construction uses GeoGebra commands like Mirror and Segment. Suitable for high school geometry teaching and learning the properties and determination methods of central symmetric figures.

GeoGebra Commands & Parameters

  1. Mirror(pic1, A) → pic1'
  2. Mirror(C, A) → C'
  3. Mirror(B, A) → B'
  4. Mirror(E, A) → E'
  5. Mirror(D, A) → D'
  6. Segment(B, B') → a
  7. Segment(E, E') → b
  8. Segment(C, C') → c
  9. Segment(D, D') → d