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Rotational Symmetry by Amy Field

Rotational Symmetry by Amy Field
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2019-06-19 21:49
Angle
This example demonstrates the rotational symmetry of a shape. It involves core mathematical concepts like symmetry, angles, and rotational transformations. Construction highlights include using GeoGebra commands such as Sequence, Circle, Point, Angle, Segment, If, and Rotate. Suitable for middle school and above students learning geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Sequence(Rotate[A, i°], i, 1, 360) → list1
  2. Circle(O, A) → k
  3. Point(list1) → B
  4. Angle(B, O, A) → α
  5. Segment(O, A) → j
  6. Segment(O, B) → l
  7. If(e, 180°, If[b ∨ c ∨ i, 90°, If[a, 72°, 0°]]) → matchAngle
  8. Rotate(pic1, (-α), O) → pic1'
  9. Rotate(pic2, (-α), O) → pic2'
  10. Rotate(pic3, (-α), O) → pic3'
  11. Rotate(pic4, (-α), O) → pic4'
  12. Rotate(pic5, (-α), O) → pic5'
  13. Rotate(pic6, (-α), O) → pic6'
  14. Rotate(pic7, (-α), O) → pic7'
  15. Rotate(pic8, (-α), O) → pic8'
  16. Rotate(pic9, (-α), O) → pic9'