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Rhombus Reflection Proof

Rhombus Reflection Proof
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2017-01-17 07:22
VectorTransformationGeometric Construction
This example demonstrates and proves the properties of a rhombus through reflection transformations. It involves core math concepts like reflection, rhombus characteristics, linear equations, vectors, and geometric transformations. The construction uses GeoGebra commands such as Line, Circle, Point, Intersect, Polygon, Mirror, and Dilation. Suitable for high school mathematics teaching to understand geometric transformations and proofs.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Line(C, f) → g
  5. Circle(C, Radius[c]) → d
  6. Intersect(d, g, 2) → D
  7. Polygon(A, C, D, B) → poly1, a, c_1, d_1, b
  8. Polygon(C, A, B) → poly2, b_1, c_2, a_1
  9. Mirror(C, a_1) → C'
  10. Mirror(A, a_1) → A'
  11. Mirror(B, a_1) → B'
  12. Polygon(C', A', B') → poly2', b', c', a'