Collinear Points in Geometry: Definition & Examples

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Similar Figures: Definition & Examples

You're on a roll. Keep up the good work!

Replay
Your next lesson will play in 10 seconds
• 0:05 What are Collinear Points?
• 0:25 Real-World Examples
• 1:26 Geometry Problems
• 2:48 Lesson Summary
Save Save

Want to watch this again later?

Timeline
Autoplay
Autoplay
Speed Speed Audio mode

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Miriam Snare

Miriam has taught middle- and high-school math for over 10 years and has a master's degree in Curriculum and Instruction.

In this lesson, you will learn the definition of collinear points in Geometry. Also, explore how collinear points relate to the real-world by looking at some examples.

What Are Collinear Points?

Collinear points are points that lie on the same line. The word 'collinear' breaks down into the prefix 'co-' and the word 'linear.' 'Co-' indicates togetherness, as in coworker or cooperate. 'Linear' refers to a line. So, collinear basically means points that hang out on the same line together.

Real-World Examples

A good way to picture the concept of collinear points is to think about food on skewers, like in the following picture.

Each skewer represents part of a line, and the tomatoes are points. So, the tomatoes labeled A, B, and C are collinear because they have all been lined up on the same skewer. All of the tomatoes on the plate are not collinear because no single straight skewer can poke through all of them the way they are arranged.

If we take two of our tomato skewers and simplify them to a geometry diagram, it might look something like this:

We can see that one line contains points A, B, and C, so those three points are collinear. A different line contains points T, O, and M, so those three points are collinear, but they are not collinear to points A, B, and C. When points are not collinear, we call them noncollinear. So, for example, points A, T, and O are noncollinear because no line can pass through the three of them together.

Geometry Problems

We are going to look at two example questions that relate to the following diagram:

A) Name two points that are collinear to point O.

B) Name two points that are noncollinear to point U.

For the first question, we are going to locate point O and follow any lines that pass through it. The line along the top of the figure passes through O and H, as highlighted in the figure below.

To unlock this lesson you must be a Study.com Member.

Register to view this lesson

Are you a student or a teacher?

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Back
What teachers are saying about Study.com

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.