Ruler and Compass Construction 1
Perpendicular Bisector of a Segment

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1. Arc centered at A of arbitrary radius
2. Arc centered at B of same radius
3. Perpendicular bisector
Why it works:
Points C and D are equidistant from A and B, so by the Perpendicular Bisector Theorem, C and D are on the perpendicular bisector of AB.
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