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Angle Sum of Triangle

Angle Sum of Triangle
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2020-02-12 09:26
TriangleAngle
This applet demonstrates the angle sum property of a triangle. Key mathematical concepts include the angle sum theorem of a triangle. Using GeoGebra commands like Polygon and InteriorAngles, it dynamically shows that the sum of the interior angles of a triangle is always 180 degrees. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Midpoint(b) → D
  3. Rotate(A, (-α), D) → A'
  4. Rotate(B, (-α), D) → B'
  5. Rotate(C, (-α), D) → C'
  6. Polygon(A', B', C') → t1', c', a', b'
  7. Midpoint(c') → E
  8. Rotate(A', (-β), E) → A''
  9. Rotate(B', (-β), E) → B''
  10. Rotate(C', (-β), E) → C''
  11. Polygon(A'', B'', C'') → t1'', c'', a'', b''
  12. InteriorAngles(t1) → γ, δ, ε
  13. InteriorAngles(t1') → ζ, η, θ
  14. InteriorAngles(t1'') → ι, κ, λ
  15. Ray(C, B) → f
  16. Rotate(C, (-μ), C) → C'_1
  17. Rotate(B, (-μ), C) → B'_1
  18. Ray(C'_1, B'_1) → f'
  19. Angle(B'_1, C, B) → ν