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Geometric Construction of Sum of Two Segments

Geometric Construction of Sum of Two Segments
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2015-06-23 08:45
FunctionTransformationGeometric Construction
In collections Constructions for Problem Set 2
This example demonstrates the geometric construction of the sum of two segments. Key concepts include segments, angles, and rotation. Commands used include Intersect, Point, Segment, Rotate, etc. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → c
  4. Point(xAxis) → C
  5. Segment(B, C) → d
  6. Rotate(B, 90*°, B) → B'
  7. Rotate(C, 90*°, B) → C'
  8. Segment(B', C') → d'
  9. Segment(a, D) → e
  10. Segment(D, E) → f
  11. Rotate(D, 90*°, D) → D'
  12. Rotate(E, 90*°, D) → E'
  13. Segment(D', E') → f'
  14. Angle(C, B, a) → α
  15. Angle(E, D, z_1) → β