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Corresponding Angles of Similar Triangles by Becky Mullen

Corresponding Angles of Similar Triangles by Becky Mullen
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2016-11-29 06:46
TriangleAngleTransformation
This example demonstrates the property that corresponding angles of similar triangles are equal. Key mathematical concepts include similar triangles and corresponding angles. Using GeoGebra commands such as Polygon, Dilate, Angle, and Line, similar triangles can be constructed and the relationship between their corresponding angles can be observed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, SF, E) → A'
  3. Dilate(B, SF, E) → B'
  4. Dilate(C, SF, E) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Angle(poly1) → α, β, γ
  7. Angle(poly1') → δ, ε, ζ
  8. Line(E, A) → f
  9. Line(E, B) → g
  10. Line(E, C) → h
  11. Polygon(A_1, B_1, C_1) → poly1_1, c_1, a_1, b_1
  12. Angle(poly1_1) → α_1, β_1, γ_1
  13. Polygon(A_2, B_2, C_2) → poly1_2, c_2, a_2, b_2
  14. Angle(poly1_2) → α_2, β_2, γ_2
  15. Polygon(A_3, B_3, C_3) → poly1_3, c_3, a_3, b_3
  16. Angle(poly1_3) → α_3, β_3, γ_3