MathPlotAI Logo MathPlotAI

SSS Example

SSS Example
Loading the math board and drawing, please wait…
2014-12-05 07:28
TrianglePolygonGeometric Construction
In collections Triangle Congruence
This example illustrates the SSS (Side-Side-Side) theorem, which states that if two triangles have all three sides equal, then the triangles are congruent. Key mathematical concepts include triangle congruence and geometric construction. Using GeoGebra commands such as Point, Segment, and Polygon, two congruent triangles can be constructed. Suitable for middle school and above students to learn about triangle congruence.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 8]) → C
  4. Segment(A, C) → b
  5. Point(Circle[C, 7]) → D
  6. Segment(C, D) → c
  7. Polygon(D, C, A) → poly1, a_1, d, c_1
  8. Angle(D, A, C) → α
  9. Angle(poly1) → β, γ, δ
  10. Point(Circle[E, 5]) → F
  11. Segment(E, F) → e
  12. Point(Circle[E, 8]) → G
  13. Segment(E, G) → f
  14. Point(Circle[G, 7]) → H
  15. Segment(G, H) → g

AI Drawing Prompt Reference

Draw two congruent triangles, triangle ABC and triangle DEF. Start by drawing a circle with center A and radius 5 to get point B, then draw a circle with center A and radius 8 to get point C, and connect A and C to form side a. Next, draw a circle with center C and radius 7 to get point D, and connect C and D to form side c. Then, draw a circle with center D and radius 5 to get point F, draw a circle with center D and radius 8 to get point E, and connect D and E to form side e. Finally, draw a circle with center E and radius 7 to get point G, connect E and G to form side f, draw a circle with center G and radius 5 to get point H, and connect G and H to form side g.
The prompt above was compiled from the original drawing commands and is for reference only.