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Are they congruent? by Jamie Peters

Are they congruent? by Jamie Peters
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2014-03-12 03:54
TriangleVectorGeometric Construction
In collections Congruence
This example demonstrates how to determine if two triangles are congruent through transformations. The core mathematical concepts involved are the criteria for congruent triangles. Using GeoGebra commands such as Polygon, Point, Line, Mirror, Vector, and Translate, two triangles can be constructed and transformed. Suitable for middle school and above students to learn about congruent triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Point(yAxis) → H
  3. Line(G, H) → g
  4. Mirror(A, g) → A'
  5. Mirror(B, g) → B'
  6. Mirror(C, g) → C'
  7. Mirror(D, g) → D'
  8. Mirror(E, g) → E'
  9. Mirror(F, g) → F'
  10. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  11. Point(xAxis) → I
  12. Vector(I, J) → u
  13. Translate(A', u) → A''
  14. Translate(B', u) → B''
  15. Translate(C', u) → C''
  16. Translate(D', u) → D''
  17. Translate(E', u) → E''
  18. Translate(F', u) → F''
  19. Polygon(A'', B'', C'', D'', E'', F'') → poly1'', a'', b'', c'', d'', e'', f''

AI Drawing Prompt Reference

Draw two congruent triangles. First, draw triangle ABCDEF on the coordinate plane. Then, mirror-transform A'B'C'D'E'F' with the y-axis as the mirror. Finally, translate A'B'C'D'E'F' with the x-axis as the vector direction.
The prompt above was compiled from the original drawing commands and is for reference only.