math calculators

Midpoint Calculator

Find the midpoint between two points on a coordinate plane

About this calculator

The midpoint between (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2). It is simply the average of the x-coordinates and the average of the y-coordinates. For points (2,4) and (8,10): midpoint = (5, 7). Used in geometry, navigation, and computer graphics.

How to use

Points A(2,4) and B(8,10): midpoint x = (2+8)/2 = 5, midpoint y = (4+10)/2 = 7. The midpoint is (5,7).

Frequently asked questions

How is the midpoint used in geometry?

Midpoints are used to find the center of a line segment, bisect angles, and locate centroids of shapes. In coordinate geometry, the midpoint theorem states that the segment joining midpoints of two sides of a triangle is parallel to the third side and half its length.