Apply design to the next side

Apply design to the next side
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2014-04-04 10:02
This example demonstrates applying a design to the next side in a geometric figure, involving core concepts like line segments, rotation, and midpoints in geometric construction. Key GeoGebra commands and objects used include Segment, Rotate, and Midpoint. Suitable for middle school and above students learning geometric transformations and constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, A) → c
  4. Segment(A, D) → d
  5. Segment(D, E) → e
  6. Segment(E, C) → f
  7. Rotate(A, 59.99999999999999°, C) → A'
  8. Rotate(D, 59.99999999999999°, C) → D'
  9. Segment(A', D') → d'
  10. Rotate(D, 59.99999999999999°, C) → D'_1
  11. Rotate(E, 59.99999999999999°, C) → E'
  12. Segment(D'_1, E') → e'
  13. Rotate(E, 59.99999999999999°, C) → E'_1
  14. Rotate(C, 59.99999999999999°, C) → C'
  15. Segment(E'_1, C') → f'
  16. Midpoint(a) → F