MathPlotAI Logo MathPlotAI

Geometry Construction Example

Geometry Construction Example
Loading the math board and drawing, please wait…
2015-12-23 20:25
CircleAngleGeometric Construction
This example demonstrates basic methods of geometric construction, including points, segments, rotation, angles, rays, circles, and intersections. Using GeoGebra commands such as Point, Segment, Rotate, and Angle, complex geometric shapes can be constructed. Suitable for students at junior high school level and above to learn geometric construction techniques.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 4]) → B
  2. Segment(A, B) → a
  3. Rotate(A, (-(100°)), B) → A'
  4. Angle(A', B, A) → α
  5. Ray(B, A') → b
  6. Circle(B, 4.8) → c
  7. Point(c) → C_1
  8. Intersect(c, b, 1) → C
  9. Point(c) → E
  10. CircumcircleArc(C_1, C, E) → d
  11. Distance(B, C) → distanceBC
  12. Rotate(B, 75°, A) → B'
  13. Angle(B, A, B') → β
  14. Ray(A, B') → e
  15. Rotate(B, (-(120°)), C) → B'_1
  16. Angle(B'_1, C, B) → γ
  17. Ray(C, B'_1) → f
  18. Intersect(e, f) → D