Constructing the Midpoint of a Line Segment
How to construct the midpoint of a line segment (and the perpendicular bisector of a line segment).
Constructing the red point
the midpoint of the given line segment
How to Construct
Place the point of the compass
at the endpoint of the line segment.
Draw two arcs at the upper part
and the lower part of the segment.
The radius of the compass has to be larger than
one half the length of the segment.
Without changing the radius of the compass,
place the point of the compass
at the other endpoint of the line segment.
Draw two arcs (red arcs)
that intersect the previous arcs (blue arcs).
Draw a line that passes through
the intersecting points formed by the arcs.
Then the intersection
of the vertical line and the line segment
is the midpoint of the line segment.
And the vertical line
is the perpendicular bisector of the line segment.