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Area and Perimeter of a Polygon

Area and Perimeter of a Polygon
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2015-03-26 10:32
PolygonVectorCoordinate Geometry
This example demonstrates how to calculate the area and perimeter of a polygon using geometric construction. Key mathematical concepts include polygons, vectors, and coordinate geometry. Using GeoGebra commands such as Polygon, Dilate, and PointIn, the construction of a polygon and the calculation of its area and perimeter are shown. Suitable for students in middle school and above to learn about polygon-related knowledge.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Point(yAxis) → E
  3. Dilate(A, 4, E) → A'
  4. Dilate(B, 4, E) → B'
  5. Dilate(C, 4, E) → C'
  6. Dilate(D, 4, E) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. PointIn(poly1) → Pointpoly1_1
  9. PointIn(poly1') → Pointpoly1'_1
  10. Perimeter(poly1) → perimeterpoly1
  11. PointIn(poly1) → Pointpoly1
  12. Perimeter(poly1') → perimeterpoly1'
  13. PointIn(poly1') → Pointpoly1'

AI Drawing Prompt Reference

Draw a quadrilateral, then scale its vertices vertically by a factor of four and connect them to form a similar larger quadrilateral. Mark a point inside each quadrilateral and calculate their perimeters to show the relationship.
The prompt above was compiled from the original drawing commands and is for reference only.