NCERT Solutions Class 6th Maths Chapter – 4 Basic Geometrical Ideas Exercise – 4.1

Question 1. Use the figure to name –

(a) Five points
(b) A-line
(c) Four rays
(d) Five line segments

Solution –

(a) Five points are- O, B, C, D and E.

(b) A line is BD¯
(c) Four rays are OD¯, OB¯, OC¯ and OE¯
(d) Five line segments are: DE¯, EO¯, OB¯, OC¯ and BE¯

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

Solution – The given lines can be named as follows-

Question 3. Use the figure to name –

(a) Line containing point E.
(b) Line passing through A.
(c) Line on which 0 lies.
(d) Two pairs of intersecting lines.

Solution –

(a) EF←→
(b) AE←→
(c) BC←→ or BO←→
(d) CO←→ or AE←→ or AE←→ or EF←→

Question 4. How many lines can pass through-

(a) one given point?
(b) two given points?

Solution-

(a) Infinitely many lines can pass through a given point.
(b) Only one line can pass through two given points.

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

(a) Point P lies on AB¯.
(b) XY←→ and PQ←→ intersect at M.
(c) Line L contains E and F but not D.
(d) OP←→ and OQ←→ meet at O.

Solution – 

Question 6. Consider the following figure of line MN. Say whether following statements are true or false in the 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 the 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 –

(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True