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Triangle, Parallelogram & Rectangle with Same Area

Triangle, Parallelogram & Rectangle with Same Area
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2017-08-18 06:41
TrianglePolygonGeometric Construction
This example demonstrates constructing a triangle, parallelogram, and rectangle with the same area. Key mathematical concepts include area calculation and geometric construction. Using GeoGebra commands such as Polygon, Distance, and Point, the user can dynamically adjust the dimensions of the shapes while observing the constant area property. Suitable for middle and high school students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(D, E, F, G) → poly2, d, e, f, g
  3. Polygon(H, I, J, K) → poly3, h, i, j, k
  4. Distance(C, a) → distanceCa
  5. Point(g) → L
  6. Point(e) → M
  7. Perimeter(poly2) → perimeterpoly2
  8. PointIn(poly2) → Pointpoly2
  9. Distance(J, j) → distanceJj
  10. Rotate(A, 90°, B) → A'
  11. Rotate(J, 90°, I) → J'
  12. Angle(J, I, J') → β
  13. Segment(L, M) → l
  14. Distance(D, g) → distanceDg
  15. Distance(L, l) → distanceLl
  16. Rotate(C, 90°, A) → C'
  17. Rotate(C, 90°, B) → C'_1
  18. Angle(C, B, C'_1) → α
  19. Rotate(F, 90°, M) → F'
  20. Angle(F, M, F') → γ