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SSS Congruence by Maryanne Gocmen

SSS Congruence by Maryanne Gocmen
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2017-11-14 21:57
TriangleAngleGeometric Construction
This example demonstrates the SSS (Side-Side-Side) congruence theorem. It involves the core mathematical concept of triangle congruence. Using GeoGebra commands such as Segment, Circle, Point, etc., it constructs triangles that satisfy the SSS condition. Suitable for middle school and above students to learn about triangle congruence.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Circle(B, A) → c
  5. Circle(D, f) → d
  6. Point(d) → E
  7. Angle(A, B, C) → α
  8. Circle(B, C) → e
  9. Circle(D, g) → k
  10. Segment(D, E) → j
  11. Rotate(E, α, D) → E'
  12. Angle(E, D, E') → β
  13. Line(D, E') → i
  14. Intersect(k, i, 2) → F
  15. Segment(D, F) → l
  16. Segment(F, E) → m

AI Drawing Prompt Reference

Draw a triangle ABC by connecting points A, B, and C with line segments f, g, and h. Draw a circle c with center B and radius AB. Draw a circle d with center D and radius f, and let the intersection point E be another vertex of the triangle. Draw angle α, and draw a circle e with center B and radius BC. Draw a circle k with center D and radius g, and let the intersection point E' be the rotated point E. Draw line DE', and let the intersection point F of line DE' and circle k be the third vertex of the triangle. Connect DF and FE to complete triangle DEF, satisfying the SSS congruence theorem.
The prompt above was compiled from the original drawing commands and is for reference only.