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Exploring Parallelograms by Jay Lietzow

Exploring Parallelograms by Jay Lietzow
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2015-03-21 00:09
PolygonAngleVectorCoordinate Geometry
This example demonstrates the geometric properties and construction methods of parallelograms. Key math concepts include the definition of parallelograms, vectors, coordinate geometry, and the relationships between angles and sides. The construction uses GeoGebra commands such as Line, Distance, Midpoint, Polygon, and Angle. It is suitable for middle school and above students to understand the basic attributes and drawing techniques of parallelograms.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Distance(A, B) → distanceAB
  3. Midpoint(A, B) →
  4. Line(A, C) → e
  5. Line(C, a) → b
  6. Line(B, D) → f
  7. Polygon(A, C, D, B) → poly1, a_1, c, d, b_1
  8. Midpoint(A, B) →
  9. Midpoint(C, D) →
  10. Midpoint(A, C) →
  11. Midpoint(B, D) →
  12. Angle(C, A, B) → α
  13. Angle(A, B, D) → β
  14. Angle(B, D, C) → γ
  15. Angle(D, C, A) → δ
  16. Midpoint(A, B) →
  17. Midpoint(B, D) →
  18. Midpoint(C, D) →
  19. Midpoint(A, C) →