Midpoint
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Definition
The midpoint of a line segment is the point on the segment equidistant from both endpoints.
A midpoint bisects the line segment that the midpoint lies on. Because of this property, we say that for any line segment with midpoint
,
. Alternatively, any point
on
such that
is the midpoint of the segment.
In Cartesian Plane
In the Cartesian Plane, the coordinates of the midpoint can be obtained when the two endpoints
,
of the line segment
is known. Say that
and
. The Midpoint Formula states that the coordinates of
can be calculated as: