NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

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 C lass 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 C lass 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 C lass 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 C lass 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 C lass 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 C lass 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

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