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Converse of Same Side Interior Angles Theorem

Converse of Same Side Interior Angles Theorem
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2015-09-30 10:00
TriangleAngleGeometric Construction
This example demonstrates the converse of the same side interior angles theorem. It involves the core mathematical concept of angle relationships. Using GeoGebra commands such as AttachCopyToView and Segment, it constructs a geometric figure where two lines are intersected by a third line, forming same side interior angles that sum up to 180 degrees. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. AttachCopyToView(PolyLine[(-1.74, 3.2199999999999993), (-1.6600000000000001, 3.2199999999999993), (-1.58, 3.2199999999999993), (-1.5, 3.2199999999999993), (-1.42, 3.2199999999999993), (NaN, NaN), (-0.96, 3.2199999999999993), (-0.88, 3.2199999999999993), (-0.8200000000000001, 3.1999999999999997), (-0.74, 3.1999999999999997), (-0.68, 3.1799999999999997), (-0.6, 3.1799999999999997), true], 1, (-4.3, -5.299999999999996), (22.8, 6.239999999999998), (0, 577), (1355, 0)) → stroke1
  2. Segment(A, B) → a
  3. Segment(C, D) → b
  4. Segment(E, F) → c
  5. Segment(G, H) → d
  6. Segment(I, J) → e
  7. AttachCopyToView(PolyLine[(-1.8800000000000003, -3.759999999999997), (-1.8200000000000003, -3.739999999999997), (-1.7400000000000002, -3.739999999999997), (-1.6600000000000004, -3.739999999999997), (-1.5800000000000003, -3.739999999999997), (-1.5000000000000004, -3.739999999999997), (-1.4200000000000004, -3.739999999999997), (NaN, NaN), (-1.1200000000000003, -3.719999999999997), (-1.0400000000000005, -3.719999999999997), (-0.9600000000000004, -3.719999999999997), (-0.8800000000000004, -3.719999999999997), (-0.8200000000000004, -3.739999999999997), true], 1, (-4.22, -5.299999999999996), (22.879999999999995, 6.239999999999998), (0, 577), (1355, 0)) → stroke2