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Perpendicular Bisector by Jenna Anderson

Perpendicular Bisector by Jenna Anderson
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2014-10-09 02:44
CircleAngleGeometric Construction
In collections Geometry Construction Project
This example demonstrates how to construct the perpendicular bisector of a segment AB and explore its geometric properties. Core math concepts include segments, circles, intersections, lines, angles, and angle bisectors. Construction involves commands like Segment, Circle, Intersect, Line, Angle, and LineBisector in GeoGebra. Suitable for middle school and above students learning geometric constructions and properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(B, A) → c
  3. Circle(A, B) → d
  4. Intersect(c, d, 2) → C
  5. Intersect(c, d, 1) → D
  6. Line(C, D) → b
  7. Intersect(b, a) → E
  8. Segment(A, E) → e
  9. Segment(B, E) → f
  10. Angle(B, E, C) → α
  11. Segment(F, G) → g
  12. LineBisector(F, G) → h

AI Drawing Prompt Reference

Draw a line segment AB, create two circles centered at A and B with radius AB, intersect these circles at points C and D, connect C and D to intersect AB at E, draw line segments AE and BE, measure angle BEC, then draw a line segment FG and its angle bisector.
The prompt above was compiled from the original drawing commands and is for reference only.