The Midpoint Calculator finds the point exactly halfway between two points on a two-dimensional coordinate plane. The midpoint is useful in coordinate geometry, line segments, construction of geometric figures, and problems involving distances between points.
Midpoint Formula
For points (xβ, yβ) and (xβ, yβ), the midpoint is M = ((xβ + xβ) Γ· 2, (yβ + yβ) Γ· 2). Each coordinate is averaged separately.
How to Use the Calculator
- Enter the x- and y-coordinates of the first point.
- Enter the x- and y-coordinates of the second point.
- Calculate the midpoint.
- Check both coordinates in the result.
Example
For A(2, 4) and B(8, 10), the x-coordinate is (2 + 8) Γ· 2 = 5 and the y-coordinate is (4 + 10) Γ· 2 = 7. The midpoint is (5, 7).
Why the Midpoint Is Useful
The midpoint divides a line segment into two equal parts. If the endpoints are known, the midpoint provides a convenient center point without first calculating the segment length.