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Constructing the perpendicular bisector of a line segment with compass and straightedge
(For assistance see www.mathopenref.com/constbisectline.html)
1. Draw the perpendicular bisector of the two lines below
2. Construct the four perpendicular bisectors of the sides of the rectangle below,
    using the fewest arcs and lines. (The record: 4 arcs, 2 lines)