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Constructing Isosceles Triangles by Idan Tal

Constructing Isosceles Triangles by Idan Tal
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2016-10-25 19:22
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to construct isosceles triangles. Key mathematical concepts include the properties of isosceles triangles and geometric construction. Using GeoGebra commands such as Circle, Mirror, Segment, etc., an isosceles triangle can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Circle(O, 5) → c
  2. Point(c) → A
  3. Mirror(A, O) → B
  4. Segment(A, B) → f
  5. CircleArc(O, B, A) → d
  6. Point(d) → E
  7. AngularBisector(B, A, E) → g
  8. Intersect(c, g, 2) → C
  9. Line(A, E) → h
  10. Line(B, C) → i
  11. Intersect(h, i) → D
  12. Segment(A, D) → j
  13. Segment(B, D) → k
  14. Segment(E, C) → l
  15. Segment(A, C) → m
  16. Angle(C, A, E) → α
  17. Angle(B, A, C) → β
  18. Angle(C, B, A) → γ
  19. Angle(A, D, C) → δ
  20. Angle(C, E, D) → ε
  21. Angle(D, C, E) → ζ