## 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

NCERT SolutionsMathsScienceSocialEnglishHindiSanskritRD Sharma