Explain Collinear Points with Example

The points that are collinear are those that are on the same line. In Euclidean geometry, two or more points on a line that is close to or far from each other are said to be collinear. The phrase collinear is made up of two Latin words: "col" and "linear." ‘Col' stands for ‘together,' and ‘Linear' stands for ‘line.' As a result, collinear points refer to points that are connected in a single line. Many real-life examples of collinearity may be found, such as a group of students standing in a straight line, a row of apples stored close to each other, and so on.

 

As a result, collinear refers to points that are parallel to each other on a single line. Collinear points can be found in our everyday lives, such as the eggs arranged in a row or the numbers printed on a ruler.

What is Collinearity?

When three or more points lie on a single line, they are said to be collinear, according to the collinearity property. The term collinearity refers to the fact that the objects are arranged in a single line or row. Let's look at an example to better grasp collinearity. If two or more points are on the same line, they are said to be collinear in geometry.

Collinear Meaning

More astonishingly, the term collinear has been applied to straightened objects, implying that they are “in a row” or “in a line.” When three things are arranged in a line, the objects are said to be collinear. More astonishingly, the term collinear has been applied to straightened objects, implying that they are “in a row” or “in a line.” Non-Collinear Points: Non-collinear points are those that do not lie on the same line.

Collinear With Respect to Math

Collinear point is determined as points that lie on the same line, as seen in the definition above. Learn math with the aid of beneficial online websites that offer authentic teaching resources.

Non-Collinear Points: Non-collinear points are those that do not lie on the same line.

Formula

There are three essential methods to find the collinear points. They are:

  1. Distance Formula
  2. Slope Formula
  3. Area of triangle

Key Pointers

Below are a few tips and techniques that will help students to master the concept of collinear points.

  • When three or more points lie on a single line, they are said to be collinear, according to the collinearity property.
  • A collinear point is represented as a line that runs through three or more points.
  • Non-collinear points are those where drawing a straight line through three or more points is impossible.

Real-Life Collinear Points

Models of collinear points can be found anywhere a number of individual things are arranged in a single straight line. Let's say you have a carton of eggs, and each egg in one row is a collinear point. Collinearity exists among students seated at a long cafeteria table. On the line of scrimmage, football players are collinear. Collinear objects include rings on a shower curtain, plants in a row in a garden, numerals on a ruler, moviegoers in a ticket queue, and commuters seated on a train.

What are Non-Collinear Points?

How is this not a collinear point model? For one thing, there are angle markers along the curved edge of a protractor. Spirals, helixes, all five sides of a pentagon, and points on a globe aren't either. A set of non-collinear points is a collection of points that do not all lie on the same line. Consider the image of a sushi roll in front of you. Using our previous example, a second skewer of food sitting next to ours would not have any points collinear with ours because they are all on separate skewers or lines.

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