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Reflection in the Origin

Reflection in the Origin
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2016-12-01 07:12
VectorCoordinate GeometryGeometric Construction
In collections UNSW MATH1131/1231 Algebra material
This example demonstrates the reflection transformation of points, vectors, and figures across the origin. It involves core mathematical concepts such as coordinate transformation, vector operations, symmetry, and analytical geometry. The construction utilizes GeoGebra commands and objects like Intersect (intersection), Vector (vector), Segment (segment), and Angle (angle). It is suitable for high school analytical geometry and geometric transformation teaching, aiding in understanding the mathematical essence of spatial transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Vector(B, C) → u
  3. Vector(B, C') → u'
  4. Segment(C', D) → c
  5. Segment(C, D) → d
  6. Angle(C, D, B) → α