Practice Midpoint Formula in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A formula for finding the point exactly halfway between two points in the coordinate plane, by averaging their coordinates.

Finding the midpoint is like finding the average position. If two friends live at different addresses on the same street, the midpoint is the house number exactly halfway between themβ€”the average of their two house numbers. In 2D, you just average both coordinates independently.

Example 1

easy
Find the midpoint of the segment joining (2, 8) and (6, 4).

Example 2

medium
The midpoint of segment PQ is M(3, -1). If P = (-2, 4), find the coordinates of Q.

Example 3

easy
Find the midpoint of the segment joining (-5, 3) and (7, -1).

Example 4

easy
A circle has diameter endpoints A(-6, 2) and B(4, 10). Find the coordinates of the centre of the circle.