Midpoint of a Line Segment - Definition and Examples


The midpoint of a line segment is the point that is located halfway between the endpoints. You can use the coordinates of the endpoints to find the coordinates of the midpoint by using the midpoint formula.

Suppose a segment has endpoints A(x1, y1) and B(x2, y2)

The midpoint M is [(x1 + x2) / 2, (y1 + y2) / 2]

A couple of examples showing how to find the midpoint of a line segment.

Example #1

Use the graph below to find the midpoint of the segment.

Midpoint of a line segment

M = [(x1 + x2) / 2, (y1 + y2) / 2]

M = [(-4 + 10) / 2, (8 + -2) / 2]

M = (6 / 2, 6 / 2)

M = (3, 3)

The midpoint is (3, 3)

Example #2

Find the midpoint of the line segment with endpoints (8,1) and (2,3)

M = [(x1 + x2) / 2, (y1 + y2) / 2]

M = [(8 + 2) / 2, (1 + 3) / 2]

M = (10 / 2, 4 / 2)

M = (5, 2)

The midpoint is (5, 2)

Recent math words

  1. What is a Vector? Definition and Examples

    Feb 04, 22 05:28 AM

    What is a vector? Definition, explanations and easy to understand read life examples.

    Read More

  2. What are Vertical Angles? Definition and Examples

    Feb 03, 22 05:45 AM

    What are vertical angles? Definition, explanation and easy to understand examples.

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: