COLLINEAR POINTS
Definition Of Collinear Points
The points lying on the same line are called Collinear Points.
More About Collinear Points
The points that do not lie on the same line are called non-collinear points.
Three non-collinear points form a triangle.
Video Examples: What are collinear points
Example of Collinear Points
In the given figure, U, P, and V are the collinear points.
Also (P, Q, R), (T, S, R), and (V, Q, S) are the other sets of collinear points.
(U, P, T), (U, S, T), and (V, Q, R) are the sets of non-collinear points.
Solved Example onCollinear Points
Ques: Identify the three collinear points from the diagram.
Choices:
A. P, Q, and R
B. R, Q, and S
C. P, Q, and S
D. none of these
Correct Answer: A
Solution:
Step 1: If the points lie on the same line, then the points are called collinear points.
Step 2: In the figure, P, Q, and R lie on the same line.
Step 3: So, P, Q, and R are the three collinear points.
Quick Summary
- Points on the same line
- Non-collinear points do not lie on the same line
- Three non-collinear points form a triangle
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate collinearity. Have students draw examples of collinear and non-collinear points.🎓 Prerequisites
- Points
- Lines
- Planes
Check Your Knowledge
Q1: Which of the following sets of points are collinear? (Refer to diagram)
Q2: If three points do not lie on the same line, what shape do they form?
Frequently Asked Questions
Q: What is the difference between collinear and non-collinear points?
A: Collinear points lie on the same line, while non-collinear points do not.
Q: How many points are needed to determine a line?
A: Two points are sufficient to determine a unique line.