MathPlotAI Logo MathPlotAI

Triangle Congruence Demo by Billy Kuehnel

Triangle Congruence Demo by Billy Kuehnel
Loading the math board and drawing, please wait…
2017-03-27 02:58
TriangleCoordinate GeometryGeometric Construction
This example demonstrates triangle congruence criteria and properties. It involves core math concepts like congruence tests, coordinate geometry, and geometric transformations. Construction highlights include using GeoGebra commands such as Polygon, Point, Rotate, Intersect, and Distance. Suitable for middle school and above students learning geometric transformations and congruence relations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(Circle[D, Segment[A, B]]) → E
  3. Rotate(E + (Segment[B, C], 0), Angle[C - B] + Angle[E - D] - Angle[B - A], E) → F
  4. Polygon(D, E, F) → poly2, f, d, e
  5. Intersect(d, e) → G
  6. Distance(A, C) → distanceAC
  7. Distance(D, G) → distanceDG
  8. Distance(C, B) → distanceCB
  9. Distance(B, A) → distanceBA
  10. Distance(G, E) → distanceGE
  11. Distance(E, D) → distanceED