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Angle Side Angle Transformation Proof

Angle Side Angle Transformation Proof
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2019-03-31 09:23
AngleTransformationGeometric Construction
This example demonstrates triangle congruence through transformation, specifically using the Angle Side Angle (ASA) condition. It utilizes commands such as Segment, Intersect, Polygon, Angle, and Point in GeoGebra. Suitable for middle school and above students learning about geometric transformations and congruent triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Intersect(Ray[A, Rotate[B, a, A]], Ray[B, Rotate[A, (-b), B]]) → C
  3. Polygon(A, B, C) → t1, c, a_1, b_1
  4. Angle(B, A, C) → α
  5. Angle(C, B, A) → β
  6. Point(Circle[D, f]) → E
  7. Intersect(Ray[D, Rotate[E, (-a), D]], Ray[E, Rotate[D, b, E]]) → F
  8. Polygon(E, D, F) → t2, f_1, e, d
  9. Angle(F, D, E) → γ
  10. Angle(D, E, F) → δ