Midpoint of a Segment

Free interactive math game: Midpoint of a Segment — M = ((x₁+x₂)/2, ...). Part of the Analytic Geometry category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. Midpoint of A(-7, 6) and B(-15, 8):
  2. Midpoint of A(-1, 7) and B(-5, 1):
  3. Midpoint of A(-4, -1) and B(4, 5):
  4. Midpoint of A(5, -4) and B(11, -8):

About this exercise

The point that sits exactly halfway between two others.

How to solve it

Average the two x coordinates, then average the two y coordinates. Each average is just the pair added together and halved.

Worked example

Between (2, 4) and (6, 10) the x average is 4 and the y average is 7, so the midpoint is (4, 7).

Common mistake

Subtracting instead of averaging. Subtraction gives the gap between the points, not the place halfway along.