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Investigation: Is SAS a Congruence Shortcut?

Investigation: Is SAS a Congruence Shortcut?
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2016-03-03 04:58
TriangleAngleTransformation
This example allows students to work in pairs, each drawing a triangle and comparing them to discover that SAS creates congruent triangles. It demonstrates the concept of congruent triangles, involving angles, line segments, and rotation. GeoGebra commands used include Circle, Point, Segment, Rotate, Angle, Ray, Intersect, and Polygon. Suitable for middle school and above students learning geometry congruence.

GeoGebra Commands & Parameters

  1. Circle(A, b) → c
  2. Point(c) → B
  3. Segment(A, B) → d
  4. Circle(A, a) → e
  5. Rotate(B, α, A) → B'
  6. Angle(B, A, B') → β
  7. Ray(A, B') → f
  8. Intersect(e, f, 1) → C_1
  9. Segment(A, C_1) → g
  10. Segment(B, C_2) → h
  11. Polygon(C_1, A, B) → poly1, b_1, c_1, a_1
  12. Segment(C_1, C_2) → i
  13. Angle(A, C_1, B) → γ
  14. Angle(C_1, B, A) → δ