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SPC Question 1: Circle and Symmetry Guided

SPC Question 1: Circle and Symmetry Guided
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2014-09-09 17:28
CircleGeometric Construction
In collections Symmetry Properties of Circles
This example demonstrates the symmetry of a circle and the relationships between related line segments. Core concepts include circle, symmetry, and line segments. Construction involves GeoGebra commands like Circle, Point, Intersect, Segment, LineBisector, Angle, and Distance. Suitable for middle school and above for geometric understanding and construction practice.

GeoGebra Commands & Parameters

  1. Circle(O, 5) → c
  2. Point(c) → P
  3. Circle(P, 8) → d
  4. Intersect(c, d) → Q, D, ,
  5. Segment(P, Q) → a
  6. LineBisector(P, Q) → b
  7. Intersect(b, a) → M
  8. Segment(O, M) → e
  9. Segment(O, Q) → f
  10. Angle(Q, M, O) → α
  11. Distance(P, Q) → distancePQ
  12. Distance(O, Q) → distanceOQ
  13. Segment(P, M) → g
  14. Segment(M, Q) → h
  15. Segment(O, M) → i
  16. Angle(Q, M, O) → β
  17. Segment(M, P) → l
  18. Segment(M, Q) → m