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Perimeter of Congruent Figures

Perimeter of Congruent Figures
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2018-01-13 04:29
PolygonTransformationGeometric Construction
This example demonstrates the perimeter calculation of congruent figures. Key mathematical concepts include congruent figures and perimeter calculation. Using GeoGebra commands such as PointIn, Segment, Translate, and Length, the example constructs and measures the lengths of the sides of congruent figures to calculate the perimeter. Suitable for junior high school geometry learning.

GeoGebra Commands & Parameters

  1. PointIn(Polygon[(0, 21), (9, 21), (9, 12), (0, 12)]) → A1
  2. PointIn(Polygon[(10, 21), (19, 21), (19, 12), (10, 12)]) → B1
  3. Segment(A1, B1) → AB1
  4. PointIn(Polygon[(10, 11), (19, 11), (19, 2), (10, 2)]) → C1
  5. Segment(B1, C1) → BC1
  6. PointIn(Polygon[(0, 11), (9, 11), (9, 2), (0, 2)]) → D1
  7. Segment(C1, D1) → CD1
  8. Segment(D1, A1) → DA1
  9. Segment(C1, A1) → CA1
  10. Translate(Rotate[A1, angle, E], (23, 0)) → A2
  11. Translate(Rotate[B1, angle, E], (23, 0)) → B2
  12. Translate(Rotate[C1, angle, E], (23, 0)) → C2
  13. Segment(A2, B2) → AB2
  14. Segment(B2, C2) → BC2
  15. Segment(C2, A2) → CA2
  16. Translate(Rotate[D1, angle, E], (23, 0)) → D2
  17. Segment(C2, D2) → CD2
  18. Segment(D2, A2) → DA2
  19. Length(AB1) → lenAB
  20. Length(BC1) → lenBC
  21. Length(CA1) → lenCA
  22. Length(CD1) → lenCD
  23. Length(DA1) → lenDA