Constructing a Square by Ibrahim El Hage

Constructing a Square by Ibrahim El Hage
Loading the math board and drawing, please wait…
2017-10-13 17:36
This example demonstrates how to construct a square using geometric methods. The core math concepts involved include segments, circles, intersections, lines, polygons, and angles. Key construction steps involve using GeoGebra commands such as Segment, Circle, Intersect, Line, Polygon, and Angle. It is suitable for middle school students and above to learn basic geometric construction techniques and for mathematical instruction and geometric proof assistance.

GeoGebra Commands & Parameters

  1. Segment(A, C) → f
  2. Circle(A, C) → c
  3. Circle(C, A) → d
  4. Intersect(d, c) → F, E, ,
  5. Line(E, F) → g
  6. Intersect(f, g) → O
  7. Circle(O, C) → e
  8. Intersect(e, g) → B, D
  9. Polygon(A, B, C, D) → poly1, a, f_1, c_1, g_1
  10. Angle(C, O, B) → α
  11. Angle(A, B, C) → β
  12. Angle(B, C, D) → γ
  13. Angle(C, D, A) → δ
  14. Angle(D, A, B) → ε