Similar Figures and Ratios in Geometry

Similar Figures and Ratios in Geometry
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2018-11-16 07:50
This example demonstrates the properties and ratio relationships of similar figures. By constructing similar triangles, students can visually understand the properties of similar figures and their ratios. Commands used include constructing polygons, dilation, distance, and angle measurement. Suitable for middle school and above students to learn about geometric transformations and ratio concepts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Dilate(A, 2, D) → A'
  3. Dilate(B, 2, D) → B'
  4. Dilate(C, 2, D) → C'
  5. Polygon(A', B', C') → t1', c', a', b'
  6. Distance(C, B) → distanceCB
  7. Distance(C', B') → distanceC'B'
  8. Distance(B, A) → distanceBA
  9. Distance(A, C) → distanceAC
  10. Distance(C', A') → distanceC'A'
  11. Distance(A', B') → distanceA'B'
  12. Distance(B', A') → distanceB'A'
  13. Distance(A', C') → distanceA'C'
  14. Angle(A, B, C) → α
  15. Angle(C, A, B) → β
  16. Angle(B, C, A) → γ
  17. Angle(C', A', B') → δ
  18. Angle(A', B', C') → ε
  19. Angle(B', C', A') → ζ