Constructing Distances in the Coordinate Plane

Constructing Distances in the Coordinate Plane
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2020-03-23 02:33
This example demonstrates how to construct distances in the coordinate plane. Key mathematical concepts include coordinate geometry and the Pythagorean theorem. Using GeoGebra commands such as RandomElement, Segment, and Polygon, the process of calculating distances is dynamically illustrated. Suitable for middle school and above students for geometric construction and concept understanding.

GeoGebra Commands & Parameters

  1. RandomElement(l1) → a
  2. Segment(A, B) → f
  3. Polygon(A, C, B) → t1_1, b, a_1, c
  4. Segment(A, C) → g
  5. Segment(C, B) → h
  6. Angle(B, C, A) → α
  7. Polygon(B, C, 4) → poly1, i, j, k, l, D, E
  8. Polygon(C, A, 4) → poly2, m, n, p, q, F, G
  9. Segment(A, F) → r
  10. Segment(F, G) → s
  11. Segment(G, C) → t
  12. Segment(C, D) → e
  13. Segment(D, E) → f_1
  14. Segment(E, B) → g_1