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Are the triangles congruent?

Are the triangles congruent?
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2016-01-18 02:58
TriangleTransformationGeometric Construction
This example demonstrates how to use given tools to determine if triangle ABC is congruent to triangle A'B'C'. It involves core math concepts like congruence criteria for triangles and translation transformations. The construction uses Polygon and Translate commands. Suitable for middle school and above students learning geometric transformations and congruence判定。

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Translate(Rotate[Polygon[Mirror[A, yAxis], Mirror[B, yAxis], Mirror[C, yAxis]], 45*°, (0, 0)], (5, -2)) → poly2
  3. Translate(Rotate[Mirror[A, yAxis], 45*°, (0, 0)], (5, -2)) → A'
  4. Translate(Rotate[Mirror[B, yAxis], 45*°, (0, 0)], (5, -2)) → B'
  5. Translate(Rotate[Mirror[C, yAxis], 45*°, (0, 0)], (5, -2)) → C'