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Custom Tool: Exercise 2

Custom Tool: Exercise 2
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2016-07-22 06:42
CirclePolygonGeometric Construction
This example demonstrates how to create a custom tool in GeoGebra. It involves constructing the circumcircle of a triangle, with key mathematical concepts including the circumcircle of a triangle and circle properties. Commands used include LineBisector, Intersect, Circle, Polygon, and CircumCenter. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. LineBisector(A, C) → f
  2. LineBisector(C, B) → g
  3. Intersect(f, g) → D
  4. Circle(D, B) → c
  5. Polygon(A, B, C) → poly1, c_1, a, b
  6. CircumCenter(E, F, G) → poly2, d, H
  7. CircumCenter(I, J, K) → poly3, e, L

AI Drawing Prompt Reference

Draw a triangle, then find and construct its three angle bisectors, which intersect at the circumcenter. Use the circumcenter as the center to draw a circle connecting it to one vertex of the triangle, forming the circumcircle. Finally, complete the triangle and the circumcircle.
The prompt above was compiled from the original drawing commands and is for reference only.