Question

1) How many line segments can be determined by:-


(i) three collinear points? (ii) three non-collinear points?


2) How many planes can be determined by:-


(i) three collinear points? (ii) three non-collinear points?

Answer 1

Answer:

                                           Line segments

(i) Three collinear points – a “single line segment” can be formed, since they are collinear they are formed in a single line segment.

(ii) Three non – collinear points – Three line segments can be formed since they are non-collinear, they are used to form a triangle.

                                                    Planes

(iii) Three collinear points – A plane cannot be formed, but a line is  formed.

(iv) “Three non – collinear points” – Only one plane can be drawn.