How to find Mid Point?
To find the coordinates of the midpoint of any given line segment we can use the midpoint formula if the endpoints of the line segment are given. Consider the following example for the same.
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 the coordinates of the endpoints of the line segment.
Midpoint = ((5+(-3))/2, (6+4)/2)
⇒ Midpoint = (2/2, 10/2)
⇒ Midpoint = (1, 5)
Therefore, the coordinates of the midpoint of the line segment are (1, 5).
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.