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Perpendicular Bisector of Chord by Lew W. S.

Perpendicular Bisector of Chord by Lew W. S.
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2015-06-26 08:16
CircleAngleGeometric Construction
In collections Circles Properties and Angle Properties of Circles
This example demonstrates the properties of the perpendicular bisector of a chord in a circle. It involves core math concepts like circle, chord, perpendicular bisector, and angle. Construction highlights the use of GeoGebra commands/objects such as Point, Circle, Segment, CircleArc, Intersect, and Angle. Suitable for middle school and above learning circle properties and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(O, A) → c
  3. Point(c) → B
  4. Segment(A, B) → a
  5. Circle(A, 8) → d
  6. Circle(B, 8) → e
  7. Point(d) → C
  8. Point(d) → D
  9. Point(e) → E
  10. Point(e) → F
  11. CircleArc(A, D, C) → f
  12. CircleArc(B, E, F) → g
  13. Intersect(g, f) → G, H, ,
  14. Segment(H, G) → b
  15. Intersect(b, a) → I
  16. Angle(H, I, A) → α

AI Drawing Prompt Reference

Draw a circle and a chord inside it. Then, construct the perpendicular bisector of the chord, showing its intersection points with the circle. Finally, connect the endpoints of the chord to these intersection points with arcs to illustrate the properties of the perpendicular bisector.
The prompt above was compiled from the original drawing commands and is for reference only.