What Are the Basic Things Which the Students Should Know About the Collinear Points?

In the world of Euclidean geometry if two or more points will always lie on a single line close or far from each other then they will be referred to as the Collinear points. The collinear points will be the point that we lie on the straight line and this word has been combined with different kinds of terms which will make sure that they will be near to each other and will help in indicating the togetherness. There are several kinds of real-life examples of this particular concept for example eggs kept in a row, people standing from next to each other, and several other kinds of things.

In any of the given plane, the three or more points that will lie on the same straight line will be referred to as the collinear points and all the two points which will always lie in the straight line will be based upon the property of collinearity. A set of points with this particular property will be said to be clear and in general people can even say that all these points will be aligned into a single row or a line. Hence, it is very much important for people to be clear about this particular concept so that they can study math effectively. To prove that different kinds of points are collinear it is very much important for the people to be clear about different kinds of formulas and some of those methods of mentioned as follows:

Slope-based formula method

Three points will be collinear when the slope of any two pairs of the points will be the same and with the help of this concept different kinds of pairs have to be formed that will help in making sure that collinearity will be easily proven by the people without any kind of hassle. Hence, when the slope will be equal to any two pairs then it will be proven that these kinds of points are clear to each other.

Area of triangle method

Different kinds of points will be referred to as collinear if the value of the area of the triangle formed by these kinds of points will be zero. The individuals need to substitute the coordinates of the given three points into the triangle formula and the result of the area of the triangle should be zero. When it will come out to be zero it will be clear-cut proof that points are Collinear without any kind of doubt. The area of the triangle result will come out to be zero which will further make sure that these kinds of points will never be able to make a triangle which is the main reason that it is very much important to ensure that area is zero. Another method to be used in this particular area is the distance method into which different kinds of calculations have to be performed by the people that will help in making sure that points are Collinear or not.

Some of the very important points to be taken into consideration by the people so that they are very much clear about this particular concept:

1. As per the property of collinearity three or more three points will be said to be clear when all of them will be into a single line.
2. Whenever the line has been passed through these points the points are said to be clear points.
3. If it is not possible to draw a straight line through three or more points then they will be referred to as the non-collinear points.

Further, the parents need to enroll their children on platforms like Cuemath so that children never face any kind of hassle throughout the process and are very much capable of fetching good marks in the examinations very easily.