Definition of midpoint in geometry

Mid point formula in coordinate geometry provides a way to find the mid point of a line segment when the coordinates of the starting and ending points ( i.e.

(x₁, y₁) and (x₂, y₂) )of the line segment is known. The mid point divides the line in two equal halves i.e the ratio of the sections of the line in which the midpoint divides it is 1:1.

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 y_2, the mid-point of the line will be given by (x_m, y_m).

The formula for the mid-point  (x_m, y_m) is:

Example: Find the coordinates of the midpoint of a line segment whose endpoints are (5, 6) and (-3, 4).

Solution:

As we know, the midpoint of a line segment is given by the formula:

Midpoint = ((x₁+x₂)/2 , (y₁+y₂)/2)

where (x₁, y₁) and (x₂, y₂) are

how to find midpoint using coordinates

how to find the coordinate of the midpoint