Mathematics
Mark three non-collinear points A, B and C in your notebook. Draw lines through these points taking two at a time and name these lines. How many such different lines can be drawn?
Answer
Non-collinear points are points that do not lie on the same straight line. Taking the points two at a time we get the following pairs — (A, B), (B, C) and (C, A).
Through each pair of points we can draw exactly one line. So, we get three lines, namely line AB, line BC and line CA.
∴ Three different lines can be drawn through three non-collinear points A, B and C.
Related Questions
How many lines can be drawn through two distinct given points?
How many lines can be drawn through three collinear points?
Use the adjoining figure to name:
(i) Five points.
(ii) A line.
(iii) Four rays.
(iv) Five line segments.
Use the adjoining figure to name:
(i) Line containing point E.
(ii) Line passing through A.
(iii) Line on which point O lies.
(iv) Two pairs of intersecting lines.