Match the following columns:
Column I | Column II |
(a)A line segment has a (b) A ray (c) How many lines can be drawn to pass through a given point? (d) How many lines can be drawn to pass through two given points? | (p) Infinitely many (q) definite length (r) B (s) Only one |
The correct answer is:
(a)-………, (b)-……., (c)-…….., (d)………
(A)-(q), (B)-(r), (C)-(p), (D)-(s)
(A)-(q): A line segment has definite length.
Its length can be measured. A line segment AB has two end points A and B. It starts from point A and ends at point B. One and only one line-segment can be between two given points A and B.
(B) – (r): A ray has the end point “B”
A ray is a line with one end. It starts at a given point and goes off in a certain direction forever. Here, the end point is B and it extends infinitely in the direction A.
(C)-(p) Through a point, infinitely many lines can be drawn.
In 1 dimension, only one line can be drawn passing through a single point. However, in 2 or more dimension, uncountably many lines can be draw which pass through one point.
(D)-(s) Only one lines can be drawn to pass through two given points.
Through two given points only one unique line can be drawn.