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Congruent Triangles: Side-Side-Side

Congruent Triangles: Side-Side-Side
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2012-05-03 19:13
TriangleGeometric Construction
In collections Triangle Congruence - Collection
This interactive example demonstrates how the Side-Side-Side (SSS) condition is sufficient to prove two triangles are congruent. It involves core math concepts like triangle congruence criteria and geometric constructions. The construction uses GeoGebra commands such as Segment, Circle, and Point. Suitable for middle school students learning triangle congruence theorems and for geometry teaching demonstrations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(B, C) → a
  3. Segment(C, A) → b
  4. Circle(D, b) → d
  5. Point(d) → E
  6. Segment(E, D) → e
  7. Circle(D, a) → f
  8. Point(f) → F
  9. Segment(F, D) → g
  10. Circle(E, c) → h
  11. Point(h) → G
  12. Segment(G, E) → i

AI Drawing Prompt Reference

Draw triangle ABC, then draw a circle centered at A with BC as the radius, and mark the intersection with BC as point D. Next, draw a circle centered at B with AC as the radius, and mark the intersection with AC as point E. Finally, draw a circle centered at C with AB as the radius, and mark the intersection with AB as point F. Connect points A to F, B to E, and C to D to form triangle DEF, and prove that triangle ABC is congruent to triangle DEF.
The prompt above was compiled from the original drawing commands and is for reference only.