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Triangle Rotational Symmetry

Triangle Rotational Symmetry
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2018-05-05 05:42
TriangleAngleTransformationGeometric Construction
This GeoGebra example demonstrates triangle rotational symmetry through dynamic construction. It explores how a triangle maps onto itself under rotation about a center point, covering core concepts such as rotation transformation, symmetry, angle measurement, and triangle properties. Construction uses GeoGebra commands including Circle, Point, Intersect, Polygon, and Angle, with geometric objects labeled A, B, C, and others. Suitable for middle and high school geometry lessons on plane transformations and symmetry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Circle(C, Segment[A, B]) → d
  4. Point(c) → D
  5. Circle(D, Segment[A, B]) → e
  6. Intersect(c, e, 2) → E
  7. Intersect(c, e, 1) → F
  8. Polygon(E, F, 3) → poly1, f, g, h, G
  9. Intersect(c, d, 2) → H
  10. Intersect(c, d, 1) → I
  11. Polygon(H, I, 3) → poly2, i, j, k, J
  12. Angle(J, A, G) → α