Question

Which figure is formed by three non-collinear points?

Answer 1

Hint: First, we have to understand what is meant by non-collinear points. It states that “if less than three points lie on the same line then that points are called non-collinear points”. For example: let us take 3 points A, B, C out of which any two lies on same line which is given as:

So, joining the points we get our required figure.

Complete step-by-step answer:
Here, basically there are two types of points: collinear points and non-collinear points.
First, we will understand collinear points: If three or more than three points lie on a line then that points are called collinear points. By taking an example, understanding will be clear here.

Here, points A, B, C lie on the same line so, these points are called collinear points.
Now, we will understand Non-collinear points: If less than three points lie on the same line then that points are called non-collinear points. Here, also taking an example for better understanding.

Here, only 2 points are on the same line, so all the points are called non collinear points.
Now, if we connect any 3 dots from the figure, we will get a triangle.

So, we can connect any 3 non collinear points and we will get the figure of the triangle.


Note: Now, students might make mistakes in connecting dots, for example if we have 3 non collinear dots, then by connecting we get

This is the figure of the ellipse which is wrong. Instead of ellipse, we have to simply join the points using line segments and we will get a triangle.

So, the dotted figure is the correct answer.