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Exploring Boundaries

Exploring Boundaries
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2016-05-29 00:57
PolygonVectorCoordinate Geometry
In collections Integration
This example demonstrates how to explore the changes in a quadrilateral by adjusting boundary points. It involves concepts of geometric transformations and vectors. Using GeoGebra commands such as Point, Segment, and IntegralBetween, dynamic observations of the boundary changes can be made. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → a
  2. Point(xAxis) → b
  3. Point(xAxis) → c
  4. Segment(a, D) → g
  5. Segment(b, E) → h
  6. Segment(c, F) → i
  7. IntegralBetween(f, 0, x(a), x(b), true) → a_1
  8. IntegralBetween(f, 0, x(b), x(c), true) → b_1
  9. IntegralBetween(f, 0, x(b), x(a)) → d