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Theorem 10

Theorem 10
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2013-03-04 05:07
TriangleCoordinate GeometryGeometric Construction
In collections Parallelogram Theorems Parallelogram Theorems
This example demonstrates the properties of isosceles triangles. Key mathematical concepts include the properties of isosceles triangles and geometric construction. Using GeoGebra commands such as Line, Intersect, Segment, Distance, etc., an isosceles triangle can be constructed and its side lengths and angles can be measured. Suitable for middle and high school students to learn geometric construction and properties of isosceles triangles.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(A, C) → c
  4. Line(B, c) → d
  5. Intersect(b, d) → D
  6. Segment(A, B) → e
  7. Segment(B, D) → f
  8. Segment(D, C) → g
  9. Segment(C, A) → h
  10. Segment(A, D) → i
  11. Segment(C, B) → j
  12. Intersect(i, j) → E
  13. Distance(B, C) → distanceBC
  14. Distance(A, E) → distanceAE
  15. Distance(E, D) → distanceED
  16. Distance(A, D) → distanceAD
  17. Distance(C, E) → distanceCE
  18. Distance(B, E) → distanceBE

AI Drawing Prompt Reference

Draw an isosceles triangle ABC with AB and AC being of equal length. Start by placing points A, B, and C, then draw a line through B that intersects AC at point D. Connect points A, B, C, and D, and measure the lengths of the sides and angles. Pay attention to the properties of the isosceles triangle.
The prompt above was compiled from the original drawing commands and is for reference only.