## NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1

Exercise 4.1

Ex 4.1 Class 6 Maths 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, E and D

(b) Name of the line is $$\overleftrightarrow { DB }$$ or $$\overleftrightarrow { BD }$$.
(c) Four rays are: $$\overrightarrow { OC }$$, $$\overrightarrow { OB }$$, $$\overrightarrow { OE }$$ and $$\overrightarrow { OD }$$
(d) Five line segments are:
$$\overline { OE }$$, $$\overline { ED }$$, $$\overline { OD }$$, $$\overline { OB }$$ and $$\overline { EB }$$.

Ex 4.1 Class 6 Maths Question 2.
Name the line given in all possible (twelve) ways, choosing only two letters at a times from the four given.

Solution:
The given lines can be named as follows:

Ex 4.1 Class 6 Maths 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) $$\overleftrightarrow { EF }$$
(b) $$\overleftrightarrow { AE }$$
(c) $$\overleftrightarrow { BC }$$ or $$\overleftrightarrow { BO }$$
(d) $$\overleftrightarrow { CO }$$ or $$\overleftrightarrow { AE }$$ or $$\overleftrightarrow { AE }$$ or $$\overleftrightarrow { EF }$$

Ex 4.1 Class 6 Maths 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 points.
(b) Only one line can pass through two given points.

Ex 4.1 Class 6 Maths Question 5.
Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on $$\overline { AB }$$.
(b) $$\overleftrightarrow { XY }$$ and $$\overleftrightarrow { PQ }$$ intersect at M.
(c) Line L contains E and F but not D.
(d) $$\overleftrightarrow { OP }$$ and $$\overleftrightarrow { OQ }$$ meet at O.
Solution:

Ex 4.1 Class 6 Maths Question 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 $$\overleftrightarrow { MN }$$.
(b) M, O, N are points on a line segment $$\overline { MN }$$.
(c) M and N are end points of line segment $$\overline { MN }$$.
(d) O and N are end points of line segment $$\overline { OP }$$ .
(e) M is one of the end points of line segment $$\overline { QO }$$.
(f) M is point on ray $$\overrightarrow { OP }$$.
(g) Ray $$\overleftrightarrow { OP }$$ is different from ray $$\overrightarrow { QP }$$.
(h) Ray $$\overleftrightarrow { OP }$$ is same as ray $$\overrightarrow { OM }$$ .
(i) Ray $$\overrightarrow { OM }$$ is not opposite to ray $$\overleftrightarrow { OP }$$.
(j) O is not an initial point of $$\overleftrightarrow { OP }$$.
(k) N is the initial point of $$\overrightarrow { NP }$$ and $$\overrightarrow { NM }$$.
Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True