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Perimeters and Areas of Similar Figures

Perimeters and Areas of Similar Figures
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2018-01-29 03:40
Probability & StatisticsTransformationGeometric Construction
This example demonstrates the relationship between the perimeters and areas of similar figures. Key mathematical concepts include similarity transformation, area ratio, and perimeter ratio. Using GeoGebra commands such as Segment, OrthogonalLine, Circle, Intersect, and Polygon, students can understand the properties of similar figures. Suitable for middle school and above students to learn about geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. OrthogonalLine(A, f) → h
  4. Circle(B, Segment[A, B]) → c
  5. Circle(A, Segment[B, A]) → d
  6. Intersect(d, h, 1) → D
  7. Intersect(c, g, 1) → C
  8. Segment(D, C) → i
  9. Segment(C, B) → j
  10. Segment(A, D) → k
  11. Polygon(A, B, C, D) → poly1, a, b, c_1, d_1
  12. Polygon(H, G, 4) → poly2, l, m, n, p, F, E