Perpendicular Bisector of a Line Segment by shane molloy

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2014-04-26 01:29

In collections Construction

This example demonstrates how to construct the perpendicular bisector of a line segment. Core math concepts include line segments, circles, intersections, lines, and coordinate geometry. Construction highlights the use of GeoGebra commands: Segment, Circle, Intersect, Line; objects: A, B, a, c, d, C, D, b, e, f, g, h, text1. Suitable for middle school and above students to learn geometric construction techniques.

GeoGebra Commands & Parameters

Segment(A, B) → a
Circle(A, 3) → c
Circle(B, 3) → d
Intersect(c, d) → C, D, ,
Line(C, D) → b

AI Drawing Prompt Reference

Draw the perpendicular bisector of line segment AB. First, draw two circles with equal radii centered at point A and point B. Then, find the intersection points C and D of these two circles. Finally, draw a line through points C and D, which is the perpendicular bisector of line segment AB.

The prompt above was compiled from the original drawing commands and is for reference only.