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Area Relationship of Triangle and Parallelogram on the Same Base and Between Sam

Area Relationship of Triangle and Parallelogram on the Same Base and Between Sam
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2019-08-09 23:19
TriangleGeometric Construction
This example demonstrates the relationship between the areas of a triangle and a parallelogram that share the same base and are between the same parallel lines. Key mathematical concepts include the area formulas for triangles and parallelograms. Using GeoGebra commands such as Point, Line, Segment, Polygon, Intersect, and Area, the relationship between the areas can be visually illustrated. Suitable for students at the junior high school level and above to learn about the area calculation and properties of geometric shapes.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Line(A, B) → f
  4. Point(f) → C
  5. Segment(C, D) → g
  6. Line(E, g) → h
  7. Polygon(E, C, D) → t1, d, e, c
  8. Point(h) → F
  9. Segment(C, F) → i
  10. Line(D, i) → j
  11. Intersect(h, j) → G
  12. Segment(D, G) → k
  13. Segment(F, G) → l
  14. Polygon(F, G, D, C) → q1, f_1, g_1, d_1, c_1
  15. Area(C, D, E) → ΔCDE
  16. Area(C, D, G, F) → parm