Collinear Points :- In our previous Topic, some basic Geometrical Terms viz., Point, Line, Line Segment and Ray have been discussed. (Kindly go the link https://schoolacademy.sbicsphelp.com/comparative-study-of-point-line-segment-and-ray/)
In this section, we will discussed about Collinear Point and Non-Collinear Points
3(Three) or more Points are said to be collinear point, if and only if they lie on a same straight Line/Line Segment or Ray otherwise they are said to be Non-Collinear Point.
Let us consider a line and take any 3 three points viz., Point P, Point Q and Point R on it.
From the figure, one can easily say that Point P, Point Q and Point R lie on the same line, that is they form a straight line and so we can say that
P, Q and R are Collinear Point’s.
Again let us take, any 3(three) points on a plane.
From the figure, one can easily say that 3(three) points viz., Point A, Point B and Point C does not lie on the same line that is they do not form a straight line and so we can say that
A, B and C are Non-Collinear Points
Once again, we can say that 3(Three) or more Points are said to be collinear if and only if they lie on a same straight Line/Line Segment or Ray otherwise they are said to be Non-Collinear Point.
In the Language of Mathematics, the terms if and only if have its own meaning. It means that if a statement is true then its Converse is also true.
Let us understand this concept in terms of Collinear Point
If three or more point lie on a straight line then they are said to be collinear point.
[This is actually a condition for co-linearity of 3(three) or more points.]
Conversely, it is stated as
If 3(three) or more points are collinear, then they form a straight line.
Fast Facts:
- 2(Points) are always Collinear Point. Analyze and illustrate with example.
- How many Lines can pass through a Single Point?
