SAS Congruence Demo: Constructing Congruent Triangles with GeoGebra

SAS Congruence Demo: Constructing Congruent Triangles with GeoGebra
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2012-06-11 22:04
This GeoGebra example demonstrates side-angle-side (SAS) congruence by constructing a triangle congruent to a given one through copying two sides and their included angle. It covers triangle congruence, angle measurement, segment length, circle-based construction, and rotation. The construction uses Line, Segment, Circle, Intersect, Angle, Rotate, and Distance commands, with objects such as AC, AD, CAD, β, D'_1, and distanceCD to verify copied lengths and angles. Suitable for middle-school or high-school geometry lessons, congruence proofs, and GeoGebra construction demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Circle(A, AD) → c
  3. Intersect(c, a, 2) → D
  4. Segment(A, D) → b
  5. Circle(A, AC) → e
  6. Rotate(D, CAD°, A) → D'_1
  7. Angle(D, A, D'_1) → β
  8. Line(A, D'_1) → d
  9. Circle(A, AC) → f
  10. Intersect(f, d, 2) → C
  11. Segment(C, D) → g
  12. Segment(A, C) → h
  13. Distance(C, D) → distanceCD