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Parallelogram Drag

Parallelogram Drag
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2017-05-19 23:39
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the dragging effect of a parallelogram. Key mathematical concepts include the properties of a parallelogram, distance calculation, and midpoint. Using GeoGebra commands such as Join, Point, Mirror, and Polygon, a dynamic parallelogram can be constructed. Suitable for middle school and above students to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Join(Sequence[Sequence[(i, j), i, -6.5, 7.5, 0.1], j, -4, 2.5, 0.1]) → GridSpace
  2. Point(GridSpace) → B
  3. Point(GridSpace) → A
  4. Mirror(A, O) → C
  5. Mirror(B, O) → D
  6. Polygon(A, B, C, D) → Paralellogram, a, b, c, d
  7. Segment(A, C) → AC
  8. Segment(B, D) → BD
  9. Midpoint(A, O) → AOpoint
  10. Distance(A, O) → AOlength
  11. Distance(B, O) → BOlength
  12. Distance(C, O) → COlength
  13. Distance(D, O) → DOlength
  14. Midpoint(B, O) → BOpoint
  15. Midpoint(C, O) → COpoint
  16. Midpoint(D, O) → DOpoint
  17. Segment(A, B) → TopSegment
  18. Segment(D, C) → BottomSegment
  19. Segment(C, B) → RightSegment
  20. Segment(D, A) → LeftSegment