MathPlotAI Logo MathPlotAI

Similar Triangles (7th Grade)

Similar Triangles (7th Grade)
Loading the math board and drawing, please wait…
2017-04-12 11:34
TriangleAngleGeometric ConstructionSlider Animation
This example demonstrates the properties and criteria of similar triangles for 7th graders, visually showing corresponding angles and proportional sides through dynamic manipulation. Key math concepts include triangle similarity, proportionality, angle measurement, and geometric transformations. GeoGebra commands and objects used are Intersect, Circle, Point, Segment, Dilate, Rotate, Angle, Line, Polygon, Vector, Translate, and Distance. It is suitable for teaching and learning the geometric principles of similar triangles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, d_1) → c
  3. Point(c) → B
  4. Segment(A, B) → a_2
  5. Circle(B, e) → f
  6. Dilate(A, d, A) → A'_1
  7. Dilate(B, d, A) → B'
  8. Rotate(A, angleB, B) → A'_2
  9. Angle(A, B, A'_2) → β
  10. Line(B, A'_2) → b
  11. Intersect(f, b, 2) → C
  12. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  13. Dilate(A, d, A) → A'
  14. Dilate(B, d, A) → B'_1
  15. Dilate(C, d, A) → C'
  16. Polygon(A', B'_1, C') → poly1', c', a', b'_1
  17. Vector(F, G) → v
  18. Translate(A', v) → K
  19. Translate(B'_1, v) → H
  20. Translate(C', v) → J
  21. Polygon(K, H, J) → poly1'', c'', a'', h
  22. Angle(B, C, A) → α
  23. Angle(K, H, J) → γ
  24. Angle(H, J, K) → δ
  25. Distance(h, a'') → a