The Lesson
The midpoint is half way between two points. We can find the Cartesian coordinates of the midpoint if we know the Cartesian coordinates of the two points. Imagine we wanted to find the midpoint between the points with Cartesian coordinates (1, 2) and (5, 4). The image below shows what we mean by the midpoint:
How to Find the Midpoint
Finding the midpoint between two points is easy.Question
Find the midpoint between the points with Cartesian coordinates (1, 2) and (5, 4).Step-by-Step:
1
Add the x-coordinates of the two points together. The x-coordinate of (1, 2) is 1. The x-coordinate of (5, 4) is 5.
1 + 5 = 6
2
Divide the answer (6) by 2.
6 ÷ 2 = 3
3 is the x-coordinate of the midpoint.
3
Add the y-coordinates of the two points together. The y-coordinate of (1, 2) is 2. The y-coordinate of (5, 4) is 4.
2 + 4 = 6
4
Divide the answer (6) by 2.
6 ÷ 2 = 3
3 is the y-coordinate of the midpoint.
5
Write down the Cartesian coordinates of the midpoint as a pair of numbers in brackets, separated by a comma.
The x-coordinate (3) found in Step 2 goes on the left.
The y-coordinate (3) found in Step 4 goes on the right.
Answer:


How to Find the Midpoint Using a Formula
The midpoint between a point at (x1, y1) and a point at (x2, y2) is found at:
