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SAS Congruence Postulate 2

SAS Congruence Postulate 2
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2016-10-28 19:42
TriangleAngleVectorCoordinate GeometryGeometric Construction
This example demonstrates the second part of the SAS Congruence Postulate. By constructing two triangles, it shows that if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent. Key mathematical concepts include triangle congruence and the Side-Angle-Side postulate. It uses GeoGebra commands such as Polygon, Vector, Distance, and Angle. Suitable for middle school and above students to learn geometric construction and triangle congruence.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(D, E) → u
  3. Distance(A, B) → distanceAB
  4. Distance(B, C) → distanceBC
  5. Distance(A, C) → distanceAC
  6. Angle(C, B, A) → α
  7. Angle(B, A, C) → γ
  8. Angle(A, C, B) → β

AI Drawing Prompt Reference

Draw two triangles, ABC and DEF. The sides AB and AC of triangle ABC are equal in length to the sides DE and DF of triangle DEF, and the angle BAC is equal to the angle EDF. First, draw points A, B, C and D, E, F, then connect these points to form the two triangles. Next, measure the lengths of AB, AC, DE, DF, and the angles BAC and EDF to ensure they are equal.
The prompt above was compiled from the original drawing commands and is for reference only.