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Segment Addition Theorem

Segment Addition Theorem
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2015-09-27 23:09
TriangleCoordinate GeometryGeometric Construction
This example illustrates the segment addition theorem, which states that the length of segment AB plus the length of segment BC equals the length of segment AC. Key mathematical concepts include the calculation of segment lengths and geometric construction. Using GeoGebra commands such as Point, Segment, and Distance, the relationship between segments can be constructed. Suitable for middle school and above students to learn geometry.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Segment(A, B) → a
  3. Point(Circle[B, 3]) → C
  4. Segment(B, C) → b
  5. Point(Circle[C, 5]) → D
  6. Segment(C, D) → c
  7. Distance(a, b) → d
  8. Distance(A, B) → distanceAB
  9. Distance(C, B) → distanceCB
  10. Distance(D, C) → distanceDC