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Sum of Angles in a Triangle by Terry Lee Lindenmuth (2)

Sum of Angles in a Triangle by Terry Lee Lindenmuth (2)
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2016-02-15 23:52
TriangleAngleGeometric Construction
In collections Geometry Angle Investigations
This example demonstrates the property of the sum of angles in a triangle. Key mathematical concepts include the theorem of the sum of angles in a triangle. Using GeoGebra commands such as Polygon, Angle, Rotate, Line, and Textfield, the example dynamically shows that the sum of the angles in a triangle is always 180 degrees. Suitable for middle school and above students to learn geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(C, A, B) → α
  3. Angle(A, B, C) → β
  4. Angle(B, C, A) → γ
  5. Rotate(D, (-α), E) → D'
  6. Angle(D', E, D) → δ
  7. Rotate(D', (-β), E) → D''
  8. Angle(D'', E, D') → ε
  9. Rotate(D'', (-γ), E) → D'''
  10. Angle(D''', E, D'') → ζ
  11. Line(D, D''') → d
  12. Angle(D''', E, D) → η
  13. Textfield(Guess) → InputBox1

AI Drawing Prompt Reference

Draw a triangle ABC and measure its three interior angles α, β, and γ. Then use rotation to show that the sum of these angles is 180 degrees. First, draw the triangle, then measure each angle, rotate the angles, and measure the new angles. Finally, draw a line to demonstrate the rotation relationship of the angles.
The prompt above was compiled from the original drawing commands and is for reference only.