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Midpoint Calculator

Midpoint Calculator

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This calculator finds the exact midpoint between two points, e.g. the midpoint between (1,2) and (3,8) is (2,5).

Enter the coordinates of two points (x₁, y₁) and (x₂, y₂). This calculates the midpoint — the point exactly halfway between them along the straight line connecting them.

The midpoint is found by simply averaging the x-coordinates and averaging the y-coordinates separately, and the result is always exactly the same distance from each of the two original points. This comes up constantly in geometry (finding the center of a line segment or the center of a circle from its diameter's endpoints), in design and mapping work, and as a building block for more advanced coordinate geometry problems that require locating a triangle's centroid or a shape's center of symmetry.

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  • Formula: midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2) — simply average the x-coordinates and average the y-coordinates separately.
  • Equidistant from both points: the midpoint is always exactly the same distance from each of the two original points.
  • Common uses: finding the center of a line segment in geometry, locating the center point between two coordinates on a map, and various construction and design calculations.

Is the midpoint always exactly between the two points?

Yes — the midpoint formula guarantees the result lies precisely on the line segment connecting the two points, at exactly the halfway point.

What's the difference between the midpoint and the distance formula?

The midpoint formula finds a location (a point halfway between two others), while the distance formula finds a length (how far apart two points are) — they're related but answer different questions about the same two points.