class 6 math chapter 4 exercise 4.1

1. Use the figure to name:

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

Solutions:

(a) The five points are D, E, O, B and C

(b) A line is 

(c) Four rays are , , and .

(d) Five line segments are ,,,and 

2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

Solutions:

The lines are
,,,,,,,,,,,

3. Use the figure to name:

(a) Line containing point E

(b) Line passing through A

(c) Line on which O lies

(d) Two pairs of intersecting lines

Solutions:

(a) Line containing point E is 

(b) Line passing through A is 

(c) Line on which O lies is 

(d) Two pairs of intersecting lines are ,and   

4. How many lines can pass through (a) one given point? (b) two given points?

Solutions:

(a) Countless lines can pass through a given point.

(b) Only one line can pass through two given points.

5. Draw a rough figure and label it suitably in each of the following cases.

(a) Point P lies on  .

(b)  and  intersect at M.

(c) Line l contains E and F but not D.

(d)  and  meet at O.

Solutions:

(a) 

(b)

(c)

(d)

6. Consider the following figure of line . Say whether the following statements are true or false in the context of the given figure.

(a) Q, M, O, N, P are points on the line .

(b) M, O, N are points on a line segment  .

(c) M and N are the endpoints of the line segment .

(d) O and N are the endpoints of the line segment .

(e) M is one of the endpoints of the line segment .

(f) M is the point on ray .

(g) Ray
 is different from ray  .

(h) Ray  is the same as ray  .

(i) Ray  is not opposite to ray .

(j) O is not an initial point of 

(k) N is the initial point of  and .

Solutions:

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True