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SAS Congruent Triangles Exploration 3

SAS Congruent Triangles Exploration 3
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2014-11-15 00:07
TriangleAngleTransformation
In collections Module 1: Eureka Congruence, Transformations, Constructions
This example explores SAS congruent triangles. The core mathematical concepts include the SAS condition for triangle congruence. Using GeoGebra commands such as Circle, Segment, Point, Angle, Rotate, Line, Intersect, and Polygon, you can construct triangles that satisfy the SAS condition. Suitable for middle school and above students to learn about geometric transformations and congruent triangles.

GeoGebra Commands & Parameters

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