Question

What do you mean by collinear points?
(i) How many lines can you draw passing through three collinear points?
(ii) Given three collinear points A, B, C. How many line segments do they determine? Name them.
Figure

Answer 1

COLLINEAR POINTS :
Three or more points in a plane are said to be collinear if they all lie in the same line. This line is called the line of collinearity for the given points.

(i) We can draw only one line passing through three collinear points.

(ii) 3 Line segments are:
$$\begin{gathered} \overline{AB} \\ ThisisbecauseithastwoendpointsAandB. \\ \overline{BC} \\ ThisisbecauseithastwoendpointsBandC. \\ \overline{AC} \\ ThisisbecauseithastwoendpointsAandC. \end{gathered}$$