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Height in Parallelogram

Height in Parallelogram
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2017-10-23 20:01
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the calculation and construction of the height in a parallelogram. Key mathematical concepts include properties of parallelograms, height, base, and area formula. Construction involves commands like Polygon, Point, OrthogonalLine, Intersect, Segment, and Angle to form the parallelogram, draw perpendicular heights, and calculate areas. Suitable for middle school and high school students learning parallelogram geometry and area calculations, as well as high school coordinate geometry instruction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → çokgen1, a, b, c, d
  2. Point(c) → E
  3. OrthogonalLine(E, c) → f
  4. Intersect(f, a) → F
  5. Segment(F, E) → g
  6. Angle(C, E, F) → α
  7. Angle(E, F, B) → β
  8. Polygon(G, H, I, J) → çokgen2, g_1, h, ı, j
  9. Point(h) → K
  10. OrthogonalLine(K, j) → i
  11. Intersect(i, j) → L
  12. Segment(L, K) → k
  13. Angle(H, K, L) → γ
  14. Angle(K, L, G) → δ