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Tangent Line

Tangent Line
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2020-03-28 13:09
CircleTrigonometryGeometric Construction
This example demonstrates the concept of a tangent line to a circle. Key mathematical concepts include the definition and properties of a tangent line. Construction highlights the use of circle, point, segment, angle bisector, intersection, and distance commands in GeoGebra. Suitable for high school geometry.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Point(Circle[A, 9]) → B
  3. Segment(A, B) → f
  4. LineBisector(A, B) → g
  5. Intersect(g, f) → C
  6. Circle(C, D) → d
  7. Intersect(c, d) → E, F, ,
  8. Segment(E, B) → h
  9. Segment(F, B) → i
  10. Distance(E, B) → distanceEB
  11. Distance(F, B) → distanceFB
  12. Segment(E, A) → j
  13. Segment(A, F) → k
  14. Distance(E, A) → distanceEA
  15. Midpoint(E, A) →
  16. Distance(A, F) → distanceAF
  17. Midpoint(A, F) →
  18. Distance(A, B) → distanceAB
  19. Midpoint(A, B) →

AI Drawing Prompt Reference

Draw a circle c with center A and radius 3, then pick a point B on circle c and draw segment AB f. Construct the perpendicular bisector g of AB, and let the intersection of g and f be point C. Draw another circle d with center C that is tangent to circle c, and find the intersection points E and F of circles c and d. Draw segments BE h and BF i, measure the lengths of BE and BF, draw segments AE j and AF k, find the midpoints of AE and AF, and measure the length of AB and find its midpoint.
The prompt above was compiled from the original drawing commands and is for reference only.