MathPlotAI Logo MathPlotAI

Definition of a Square by kherdegen

Definition of a Square by kherdegen
Loading the math board and drawing, please wait…
2017-09-14 05:34
PolygonCoordinate GeometryGeometric Construction
In collections Lesson 6.4 - Rhombuses, Rectangles, and Squares - Math III
This example demonstrates how to construct a square using GeoGebra, showcasing its fundamental geometric properties. It involves core math concepts like perimeter, coordinates, fractions, difference and slope, stochastic processes. Key GeoGebra commands/objects used include Segment, OrthogonalLine, Circle, Intersect, and Angle. Suitable for high school mathematics teaching or geometric construction practice.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Circle(B, Segment[A, B]) → c
  5. Circle(A, Segment[B, A]) → d
  6. Intersect(d, g, 1) → C
  7. Segment(A, C) → i
  8. Intersect(c, h, 1) → D
  9. Segment(C, D) → j
  10. Segment(D, B) → k
  11. Angle(C, A, B) → α
  12. Angle(A, B, D) → β
  13. Angle(B, D, C) → γ
  14. Angle(D, C, A) → δ