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Exploring ASS Congruent Triangles

Exploring ASS Congruent Triangles
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2014-11-15 00:09
TriangleAngleGeometric Construction
In collections Module 1: Eureka Congruence, Transformations, Constructions
This example demonstrates the concept of triangle congruence under the ASS condition. Key mathematical concepts include the conditions for triangle congruence. Using GeoGebra commands such as Segment, Circle, Angle, and Rotate, you can dynamically explore the properties of triangles. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(B, A) → c
  3. Circle(A, C) → d
  4. Segment(A, C) → b
  5. Segment(C, B) → e
  6. Angle(C, B, A) → α
  7. Circle(D, a) → f
  8. Point(f) → E
  9. Segment(E, D) → g
  10. Circle(E, b) → h
  11. Rotate(E, (-α), D) → E'
  12. Angle(E', D, E) → β
  13. Line(D, E') → i
  14. Intersect(h, i, 2) → F
  15. Segment(F, E) → j
  16. Segment(D, F) → k
  17. Polygon(B, A, C) → poly1, c_1, b_1, a_1
  18. Polygon(D, E, F) → poly2, f_1, d_1, e_1