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Cyclic Quadrilaterals Angle Demo

Cyclic Quadrilaterals Angle Demo
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2015-01-13 16:06
CircleAngleGeometric Construction
In collections Circle Theorems
This example demonstrates the angle properties of a cyclic quadrilateral, illustrating key math concepts like the inscribed angle theorem and the property that opposite angles sum to 180 degrees. It is constructed using GeoGebra commands such as Circle, Point, Segment, and Angle. Suitable for middle school students and beyond for learning about circles and polygons, or for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Circle(O, 3) → c_1
  2. Point(c_1) → d
  3. Point(c_1) → B
  4. Point(c_1) → a
  5. Segment(a, d) → a_1
  6. Segment(B, a) → b_1
  7. Segment(d, O) → d_1
  8. Segment(B, O) → e_1
  9. Angle(d, O, B) → α
  10. Angle(d, a, B) → A
  11. Point(c_1) → c
  12. Angle(B, c, d) → C
  13. Segment(d, c) → f
  14. Segment(B, c) → g
  15. Angle(B, O, d) → θ
  16. Segment(B_1, D) → e