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Characteristics of Rectangles and Squares

Characteristics of Rectangles and Squares
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2017-03-20 15:03
PolygonVectorGeometric Construction
This example demonstrates the characteristics of rectangles and squares. Key mathematical concepts include geometric construction, vectors, and polygons. Using GeoGebra commands such as Point, UnitOrthogonalVector, UnitVector, and Polygon, the example constructs rectangles and squares and explores their properties. Suitable for middle school and above students to learn geometric properties.

GeoGebra Commands & Parameters

  1. Point(Circle[A_1, ruler]) → A_6
  2. UnitOrthogonalVector(Segment[A_1, A_6]) → v
  3. UnitVector(Segment[A_1, A_6]) → u
  4. Polygon(A_1, A_2, A_3, A_4, A_5, A_6) → poly6, a_3, a_4, a_5, a_6, a_7, a_8
  5. Polygon((-3.951425044315762, -3.4044603063697725), (2.048574955684238, -3.4044603063697725), (2.048574955684238, 2.595539693630228), (-3.951425044315762, 2.595539693630228)) → poly1, a, b, c, d
  6. Polygon((4.489962965315502, 0.39281305394702737), (11.489962965315502, 0.39281305394702737), (11.489962965315502, 3.3928130539470267), (4.489962965315502, 3.3928130539470267)) → poly2, e, g, h, i