What is the midpoint equation?


Quick Answer

The midpoint equation finds the midpoint of a line segment between two points. For two points A and B with x and y coordinates (x1, y1) and (x2, y2), the midpoint M is ((x1+x2)/2, (y1+y2)/2).

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Full Answer

The midpoint also applies to a three-dimensional geometry. If line segment AB is formed by connecting the points A = (x1, y1, z1) and B = (x2, y2, z2), the midpoint M is ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2). Geometrically, the midpoint can be found by drawing two circles and two lines. One circle is centered at A with the arc going through B, while the other circle is centered at B with the arc going through A. One line is drawn between the two circle intersection points, while the other line is drawn between points A and B. The intersection point of the two lines is the midpoint.

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