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Properties of a Square by Math Teachers' Adventure of ICT Integration

Properties of a Square by Math Teachers' Adventure of ICT Integration
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2017-10-10 20:33
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the properties of a square using geometric construction, involving points, line segments, circles, circle arcs, midpoints, and perpendicular lines. Using GeoGebra commands such as Segment, Point, Circle, CircleArc, and Midpoint, students can visually understand the geometric features of a square. Suitable for students in middle school and above learning about geometric properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. Circle(C, D) → c
  4. Point(c) → E
  5. Point(c) → F
  6. CircleArc(C, E, F) → d
  7. Point(d) → G
  8. Segment(C, G) → b
  9. Midpoint(b) → H
  10. OrthogonalLine(H, b) → e
  11. Circle(H, G) → f
  12. Intersect(f, e, 2) → I
  13. Intersect(f, e, 1) → J
  14. Polygon(C, J, G, I) → Vieleck1, c_1, j, g, i
  15. Segment(I, J) → h