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Circle Symmetry Demonstration

Circle Symmetry Demonstration
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2016-09-01 06:27
CircleTrigonometryGeometric Construction
This example demonstrates the symmetry of a circle and its related geometric properties. It involves core mathematical concepts such as circles, symmetry, parametric curves, and geometric constructions. The construction uses GeoGebra commands/objects like Intersect (intersection), Point, Circle, Segment, Midpoint, Line, and Angle. It is suitable for high school mathematics teaching or geometry learning to understand circle symmetry and related geometric constructions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Point(xAxis) → R
  3. Circle(O, R) → c
  4. Point(c) → A
  5. Point(c) → B
  6. Segment(A, B) → a
  7. Midpoint(A, B) → C
  8. Line(O, C) → d
  9. Angle(B, C, O) → α