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Exploring SSS Congruent Triangles

Exploring SSS Congruent Triangles
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2020-02-18 13:59
TriangleCircleGeometric Construction
In collections Congruent Triangles
This example demonstrates the SSS (side, side, side) congruence theorem for triangles. It involves core math concepts like triangle congruence, segment lengths, and geometric construction. The construction uses GeoGebra commands such as Circle, Segment, Point, Intersect, and Polygon. Suitable for middle school and above students to learn and understand triangle congruence criteria, ideal for geometric visualization in teaching.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(C, B) → d
  3. Segment(C, A) → a
  4. Segment(C, B) → b
  5. Segment(B, A) → e
  6. Point(Circle[D, abs(a)]) → E
  7. Segment(D, E) → f
  8. Circle(D, b) → g
  9. Circle(E, e) → h
  10. Intersect(g, h, 1) → F
  11. Segment(F, D) → i
  12. Segment(F, E) → j
  13. Polygon(C, B, A) → poly1, a_1, c_1, b_1
  14. Polygon(D, F, E) → poly2, e_1, d_1, f_1