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SAS Congruence Theorem

SAS Congruence Theorem
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2017-10-11 00:08
TriangleTransformationGeometric Construction
This example demonstrates the SAS (Side-Angle-Side) congruence theorem. It involves the core mathematical concept of triangle congruence. Using GeoGebra commands such as rotation, angle, and segment, two triangles are constructed and observed for congruence. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Rotate(D, 45°, A_1) → D'
  2. Angle(D, A_1, D') → α
  3. Segment(D, A_1) → h
  4. Segment(D', A_1) → i
  5. Point(Circle[A, 10]) → B
  6. Segment(A, B) → k
  7. Point(Circle[A_2, 8]) → C
  8. Segment(A_2, C) → f
  9. Segment(E, F) → g