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Coordinate Figures and Their Areas

Coordinate Figures and Their Areas
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2018-12-19 09:18
PolygonVectorCoordinate GeometryGeometric Construction
This example demonstrates the construction of various coordinate figures and the calculation of their areas using GeoGebra. Key math concepts include coordinate geometry, polygon area calculation, and vector operations. It utilizes commands and objects such as Intersect, Vector, Translate, Segment, Arc, Polygon, Root, Midpoint, and Line. Suitable for high school mathematics teaching, focusing on analytical geometry and geometric construction practices.

GeoGebra Commands & Parameters

  1. Intersect(c, xAxis, 1) → A
  2. Intersect(c, xAxis, 2) → B
  3. Vector((-17, 0), (-17, b)) → u
  4. Translate(c, u) → d
  5. Translate(A, u) → C
  6. Translate(B, u) → D
  7. Segment(A, C) → e
  8. Segment(B, D) → f
  9. Arc(c, A, B) → g
  10. Polygon(C, D, B, A) → P, c_1, d_1, b_1, a_1
  11. Intersect(xAxis, yAxis) → E
  12. Segment(E, B) → h
  13. Translate(E, u) → E'
  14. Translate(B, u) → B'
  15. Segment(E', B') → i
  16. Root(32) → F
  17. Midpoint(i) → G
  18. Midpoint(e) → H
  19. Line(J, L) → j
  20. Line(J, K) → k