MathPlotAI Logo MathPlotAI

Exploring Similarity Transformation of Rectangle

Exploring Similarity Transformation of Rectangle
Loading the math board and drawing, please wait…
2015-12-09 11:58
Probability & StatisticsTransformationGeometric Construction
This example demonstrates the similarity transformation of a rectangle, involving key concepts such as similarity transformation and geometric construction. Using GeoGebra commands like Point, Segment, Rotate, and Angle, users can dynamically observe the changes in the rectangle at different scaling ratios. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AD)]) → D
  2. Segment(A, D) → a
  3. Rotate(D, Angle_'ADC, A) → B'
  4. Angle(D, A, B') → ADC
  5. Line(B', A) → b
  6. Circle(A, AB) → c
  7. Intersect(c, b, 1) → B
  8. Segment(A, B) → d
  9. Line(B, a) → e
  10. Line(D, d) → f
  11. Intersect(e, f) → C
  12. Segment(B, C) → g
  13. Segment(C, D) → h
  14. Angle(A, B, C) → α
  15. Angle(B, C, D) → β
  16. Angle(C, D, A) → γ