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Rectangular & Polar Coordinates Conversion

Rectangular & Polar Coordinates Conversion
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2015-10-27 03:45
FunctionTrigonometryCoordinate GeometryParametric EquationGeometric Construction
This example demonstrates the conversion relationship and graphical representation between rectangular and polar coordinates. The core math concepts involved include coordinate system transformation, point representation, angle and distance calculation. It utilizes GeoGebra commands and objects such as OrthogonalLine, Intersect, Segment, Midpoint, Point, and Angle. Suitable for high school mathematics teaching or self-study to understand point representation and application in different coordinate systems.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → a
  2. Intersect(a, xAxis) → B
  3. Segment(A, B) → b
  4. Intersect(xAxis, yAxis) → C
  5. Segment(B, C) → c
  6. Midpoint(c) → D
  7. Midpoint(b) → E
  8. Point(xAxis) → F
  9. Angle(F, C, A) → θ
  10. Segment(C, A) → r
  11. Midpoint(A, C) → G