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Parallelogram Opposite Sides

Parallelogram Opposite Sides
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2017-03-10 02:19
PolygonAngleCoordinate GeometryGeometric Construction
In collections Parallelograms Investigation
This example demonstrates the properties of opposite sides in a parallelogram. Key mathematical concepts include parallel lines, distance, and angles. Using GeoGebra commands such as Line, Intersect, Segment, etc., the construction of a parallelogram and the measurement of opposite side distances and angles are illustrated. Suitable for middle school and above students to learn geometric construction and related properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(B, C) → g
  3. Line(C, f) → h
  4. Line(A, g) → i
  5. Intersect(h, i) → D
  6. Segment(A, D) → j
  7. Segment(D, C) → k
  8. Segment(C, B) → l
  9. Segment(B, A) → m
  10. Angle(B, A, D) → α
  11. Angle(A, D, C) → β
  12. Angle(D, C, B) → γ
  13. Angle(C, B, A) → δ
  14. Distance(D, C) → distanceDC
  15. Midpoint(D, C) →
  16. Distance(B, C) → distanceBC
  17. Midpoint(B, C) →
  18. Distance(B, A) → distanceBA
  19. Midpoint(B, A) →
  20. Distance(A, D) → distanceAD
  21. Midpoint(A, D) →