# Bisecting a Line Segment with a Ruler Given a Parallel Line

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Suppose the segment lies on the line and that a line is parallel to .

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Contributed by: Izidor Hafner (August 2017)

Open content licensed under CC BY-NC-SA

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## Details

The construction is valid by "The Trapezoid Theorem" [2, p. 73].

References

[1] B. I. Argunov and M. B. Balk, *Elementary Geometry* (in Russian), Moscow: Prosveščenie, 1966 p. 337.

[2] G. E. Martin, *Geometric Constructions*, New York: Springer, 1998.

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