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Congruent Triangles by Guillermo Bautista

Congruent Triangles by Guillermo Bautista
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2016-07-11 15:03
TriangleAngleTransformation
This applet demonstrates the conditions for two triangles to be congruent. Key mathematical concepts include the theorems for triangle congruence. Using GeoGebra commands such as Segment, Point, Polygon, and Rotate, two congruent triangles can be constructed. Suitable for students in middle school and above to learn about geometric transformations and theorems of congruent triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. Polygon(A, C, 3) → poly1, b, a_1, c, D
  4. Polygon(C, B, 3) → poly2, d, c_1, b_1, E
  5. Segment(D, B) → e
  6. Segment(A, E) → f
  7. Polygon(A, C, E) → poly3, e_1, a_2, c_2
  8. Rotate(A, (-α), C) → A'
  9. Rotate(C, (-α), C) → C'
  10. Rotate(E, (-α), C) → E'
  11. Polygon(A', C', E') → poly3', e', a', c'
  12. Segment(D, C) → g
  13. Segment(D, A) → h

AI Drawing Prompt Reference

Draw two congruent triangles to demonstrate their construction and key angle relationships. Start with a line segment, create a point on it, and form two triangles using these points and the segment. Then rotate one triangle to show congruence, clearly illustrating the transformation process and the steps to construct the triangles.
The prompt above was compiled from the original drawing commands and is for reference only.