Chapter - 4 - EXERCISE 4.1 - Basic Geometrical Ideas (NCERT Class 6th Maths Solution)

1. Use the figure to name : 
(a) Five points                         
(b) A line 
(c) Four rays 
(d) Five line segments

Solution/Explanation:

(a) Five points are: O, B, C, D, E
(b) A line:DE, DB, OE, OB
(c) Four rays:OD, OE, OC, OB
(d) Four line segments:DE, OE, OC, OB, , OD
2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

Solution/Explanation:

Possible 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.

Solution/Explanation:


(a) A line containing E = AE or FE
(b) A line passing through A = AE or DE
(c) A line on which O lies = CO or OC
(d) Two pairs of intersecting lines are: AD, CO and AE, FE
4. How many lines can pass through 
(a) one given point? 
(b) two given points?
Solution/Explanation:

(A) Infinite number of lines can pass through one given point.

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


5. Draw a rough figure and label suitably in each of the following cases: 
(a) Point P lies on AB. 
(b) XY s ruu and PQ s ruu intersect at M. 
(c) Line l contains E and F but not D. 
(d) OP s ruu and OQ s ruu meet at O.

Solution/Explanation:


(A) 

6. Consider the following figure of line MN . Say whether following statements are true or false in context of the given figure. 
(a) Q, M, O, N, P are points on the line MN  . 
(b) M, O, N are points on a line segment MN . 
(c) M and N are end points of line segment MN . 
(d) O and N are end points of line segment OP . 
(e) M is one of the end points of line segment QO.
(f) M is point on ray OP  . 
(g) Ray OP is different from ray QP  . 
(h) Ray OP  is same as ray OM  . 
(i) Ray OM  is not opposite to ray OP . 
(j) O is not an initial point of OP  . 
(k) N is the initial point of NP  and NM .

Solution/Explanation:

(A) True (B) True (C) True (D) False (E) False (F) False (G) True (H) False (I) False (J) False (K) True

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