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

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1.

• Basic Geometrical Ideas Class 6 Ex 4.2
• Basic Geometrical Ideas Class 6 Ex 4.3
• Basic Geometrical Ideas Class 6 Ex 4.4
• Basic Geometrical Ideas Class 6 Ex 4.5
• Basic Geometrical Ideas Class 6 Ex 4.6

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

Question 1.
Use the figure to name:
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments.
Solution :
(a) O, B, C. D, E

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

Question 3.
Use the figure to name:
(a) The line containing point E.
(b) The line passing through A.
(c) The line on which O lies
(d) Two pairs of intersecting lines.

Solution :
(a) \(\overleftrightarrow { AE }\), etc.
(b) \(\overleftrightarrow { AE }\), etc.
(c) \(\overleftrightarrow { CO } or\overleftrightarrow { OC }\)
(d) \(\overleftrightarrow { CO, } \overleftrightarrow { AE } ;\overleftrightarrow { AE } ,\overleftrightarrow { EF }.\)

Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
Solution :
(a) Countless lines can pass through one given point.
(b) One and only one line can pass through two given points.

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

(b)

(c)

(d)

Question 6.
Consider the following figure of line \(\bar { MN } \) 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 \(\bar { MN } \)
(b) M, O, N are points on a line segment \(\bar { MN } \).
(c) M and N are end points of line segment \(\bar { MN } \).

(d) O and N are end points of line segment \(\bar { OP } \).
(e) M is one of the end points of line segment \(\bar { QO } \).
(f) M is point on ray \(\overrightarrow { OP }\).
(g) Ray \(\overrightarrow { OP }\) is different from ray \(\overrightarrow { QP }\).
(h) Ray \(\overrightarrow { OP }\) is same as ray \(\overrightarrow { OM }\).
(i) Ray \(\overrightarrow { OM }\) is not opposite to ray \(\overrightarrow { OP }\).
(j) O is not an initial point of \(\overrightarrow { OP }\).
(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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