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Exploring Scale Factor

Exploring Scale Factor
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2018-01-26 02:27
PolygonTransformationSlider Animation
In collections Unit 7 Similar Triangles
This example demonstrates how dimensions change by adjusting the scale factor. It covers the concept of scaling transformations, using commands like Polygon, Intersect, Dilate, and Distance. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  2. Intersect(xAxis, yAxis) → E
  3. Dilate(A, k, E) → A'
  4. Dilate(B, k, E) → B'
  5. Dilate(C, k, E) → C'
  6. Dilate(D, k, E) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Distance(D', C') → distanceD'C'
  9. Distance(C', B') → distanceC'B'
  10. Distance(B', A) → distanceB'A
  11. Distance(D', A) → distanceD'A
  12. Distance(A, B) → distanceAB
  13. Distance(C, D) → distanceCD
  14. Distance(D, A) → distanceDA
  15. Distance(A, B') → distanceAB'
  16. Distance(B', C') → distanceB'C'
  17. Distance(C', D') → distanceC'D'
  18. Distance(D', A) → g
  19. Distance(B, C) → distanceBC

AI Drawing Prompt Reference

Draw a quadrilateral and its diagonals' intersection point. Use a slider to control the scale factor, dilate the quadrilateral from the intersection point by the scale factor, and draw both the original and dilated quadrilaterals. Measure and display the side lengths of both quadrilaterals and the distances between opposite sides to observe how the scale factor affects them.
The prompt above was compiled from the original drawing commands and is for reference only.