midpoint

(noun)

A point which divides a line segment into two lines of equal length

Related Terms

Examples of midpoint in the following topics:

  • The Distance Formula and Midpoints of Segments

    • The distance and the midpoint formulas give us the tools to find important information about two points.
    • If you have two points, $(x_{1},y_{1})$ and $(x_{2},y_{2})$, the midpoint of the segment connecting the two points can be found with the formula:
    • Another way to interpret this formula is an average: we average the $x$-coordinates to find the $x$-coordinate of the midpoint, and we average the $y$-coordinates to find the $y$-coordinate of the midpoint.
    • The equation for a midpoint of a line segment with endpoints $(x_{1},y_{1})$and $(x_{2},y_{2})$
    • Calculate the midpoint of a line segment and the distance between two points on a plane

  • Ellipses

    • The distance between antipodal points on the ellipse, or pairs of points whose midpoint is at the center of the ellipse, is maximum along the major axis or transverse diameter, and a minimum along the perpendicular minor axis or conjugate diameter.

  • What Are Conic Sections?

    • The vertex lies at the midpoint between the directrix and the focus.