MathPlotAI Logo MathPlotAI

Circle Symmetry by audience45b (2)

Circle Symmetry by audience45b (2)
Loading the math board and drawing, please wait…
2016-09-01 06:28
CircleTrigonometryCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the symmetry of a circle and related geometric properties. It involves core mathematical concepts such as symmetry, circle properties, coordinate geometry, and trigonometric functions. The construction uses GeoGebra commands/objects like Intersect, Point, Circle, Segment, Midpoint, Line, and Angle. Suitable for high school students learning geometry, coordinate geometry, and trigonometry.

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