Formula of Mid Point of Line
For a line segment AB in Cartesian coordinate where the x-axis coordinate of point A is x1 and the y-axis coordinate of point A is y1 and similarly, the x-axis coordinate of point B is x2 and the y-axis coordinate of point B is y2, the mid-point of the line will be given by (xm, ym).
The formula for the mid-point (xm, ym) is:
Mid Point Formula
Mid Point Formula
Midpoint formula is ((x1 + x2)/2, (y1 + y2)/2). The coordinates of the two points are (x1, y1) and (x2, y2) respectively, and the midpoint is a point that lies halfway between these two points.
Mid Point is a foundational concept in coordinate geometry. It plays a crucial role in finding the midpoint of a line segment. There are instances in Coordinate Geometry where we need to know the mid-point of two given points or the mid-point of a line segment. In this case, we use Mid Point formula as it is a simple and effective way to calculate the midpoint of any given line segment, regardless of its length or position on the coordinate plane.
We have covered Mid Point Formula in detail, with its derivation using the similarity of triangles. Along with it, we have curated the solved examples on Mid Point Formula.