MathPlotAI Logo MathPlotAI

Square Alignment

Square Alignment
Loading the math board and drawing, please wait…
2015-11-11 12:10
PolygonVectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the alignment and symmetry of squares under various transformations. It involves core mathematical concepts like vectors, polygon construction, rotational symmetry, and coordinate geometry. Key GeoGebra commands used include Vector, Segment, PolyLine, Polygon, Random, and Rotate to construct and dynamically align the shapes. Suitable for high school students to understand transformations and symmetry, and as a practical case for geometric constructions.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Segment(C, D) → a
  3. Segment(E, B) → b
  4. Segment(F, G) → c
  5. Segment(H, I) → d
  6. PolyLine(F, I, G, H, F) → e
  7. Polygon(F, I, G, H) → poly1, f, i, g, h
  8. Random(0, 3) → turns
  9. Random(0, 1) → flips
  10. Rotate(N, ((turns * 90))°, M) → N_0
  11. Rotate(O, ((turns * 90))°, M) → O_0
  12. Rotate(R, ((turns * 90))°, M) → R_0
  13. Rotate(Mirror[N, y = y(M)], ((turns * 90))°, M) → N_1
  14. Rotate(Mirror[O, y = y(M)], ((turns * 90))°, M) → O_1
  15. Rotate(Mirror[R, y = y(M)], ((turns * 90))°, M) → R_1