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Basic Geometry Terms

Basic Geometry Terms
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2017-08-15 02:30
CircleAngleVectorTransformationGeometric Construction
This example demonstrates basic geometry terms through graphical representations, involving core mathematical concepts such as line segments, rays, angles, vectors, rotations, circles, and ellipses. It constructs these geometric elements using GeoGebra commands like Line, Segment, Ray, Intersect, Vector, Rotate, Angle, Circle, Point, Ellipse, etc., illustrating their geometric meanings. Suitable for middle school and above students to learn and understand fundamental geometry concepts.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Segment(A, B) → b
  3. Ray(A, B) → c
  4. Intersect(c, x = x(Corner[2])) → lin_r
  5. Vector(B, lin_r) → vec_{ray}
  6. Intersect(a, x = x(Corner[1])) → lin_l
  7. Vector(A, lin_l) → vec_{left}
  8. Vector(B, lin_r) → vec_{right}
  9. Rotate(B, angleSlider, A) → C
  10. Angle(B, A, C) → α
  11. Vector(A, lin_r) → initialRay
  12. Ray(A, C) → terminalRay
  13. Circle(A, D) → d
  14. Point(initialRay) → E
  15. Ellipse(B, E, F) → e
  16. Point(terminalRay) → G
  17. Ellipse(C, G, H) → f
  18. Angle(C, A, B) → β
  19. Angle(B, A, Rotate[B, 359.9°, A]) → γ
  20. OrthogonalLine(A, initialRay) → g
  21. Point(g) → I
  22. Ray(A, I) → perpen_{ray}
  23. Angle(C, A, I) → δ
  24. Angle(C, A, lin_l) → ε